Question 1

Write the relationship of population,  PPP , as a function of time,  ttt , in years using function notation. Assume a direct relationship.

Accepted Answer

A)    P=f(t)  P=f(t) P=f(t)  
B)    t=f(P) t=f(P) t=f(P)  
C)    t=f(1/P) t=f(1 / P) t=f(1/P)  
D)    P=f(1/t)  P=f(1 / t) P=f(1/t)

Question 2

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship.
  
If $C(m)=9.5$, estimate $m$ to 1 decimal place.

Accepted Answer

The answer of The following table shows the cost of...

Question 3

Are the lines represented by these equations parallel? Perpendicular? Or neither?
9 x+8 y=2
8 x+9 y=4

Accepted Answer

A)   Perpendicular
B)   Parallel
C)   Neither

Question 4

One of the functions represented in the table below is linear. What is its vertical intercept?

Accepted Answer

The answer of One of the functions represented in the...

Question 5

The distance traveled by a car is  D(t) =65tD(t) =65 tD(t) =65t  miles, where  ttt  is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Accepted Answer

A)   The vertical intercept
B)   The slope
C)   The total distance traveled
D)   The speed of the car

Question 6

Suppose there are 110 people living in a small town and the rate of change of the town's population is 6 people per year. How many people will be living in the town twenty years from now?

Accepted Answer

The answer of Suppose there are 110 people living in...

Question 7

Is the function graphed in the following figure increasing or decreasing on the interval 5 $<\mathrm{x}<7$ ?

Accepted Answer

The answer of Is the function graphed in the following...

Question 8

If  f(x) f(x) f(x)   is an increasing function, which of the following must be true.

Accepted Answer

A)    f(1) ">f(5) >f(1)  f(5) >f(1) f(5) >f(1)  
B)    f(5) ≤f(1)  f(5)  \leq f(1) f(5) ≤f(1)  
C)    0">f(1) −f(5) 1−5>0\frac{f(1) -f(5) }{1-5}>01−5f(1) −f(5) ​>0 
D)   For some value of  x≠5,f(x) =f(5) x 
eq 5, f(x) =f(5) x=5,f(x) =f(5)

Question 9

The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship.
  
Estimate $C(2.5)$.

Accepted Answer

The answer of The following table shows the cost of...

Question 10

In the following figure, let $A=8$ and $B=4$. Find the equation of the line through $(A$, $B)$ and $(P, 0)$ and use it to find the value of $P$.

Accepted Answer

The answer of In the following figure, let $A=8$ and...

Question 11

The following figure gives lines  A,B,C,DA, B, C, DA,B,C,D , and  EEE . Their equations are given below. Which is the equation for line  EEE  ?

Accepted Answer

A)    f(x) =3+2x f(x) =3+2 xf(x) =3+2x 
B)    f(x) =3+0.5xf(x) =3+0.5 xf(x) =3+0.5x 
C)    f(x) =3−0.5xf(x) =3-0.5 xf(x) =3−0.5x 
D)    f(x) =3−2xf(x) =3-2 xf(x) =3−2x 
E)    f(x) =3f(x) =3f(x) =3

Question 12

Let $y=p(x)$ be defined by the following graph. What is $p(0)$ ?

Accepted Answer

The answer of Let $y=p(x)$ be defined by the following...

Question 13

Using the following figure, find the average rate of change of $f$ for $1<x<2$.

Accepted Answer

The answer of Using the following figure, find the average...

Question 14

What is the vertical intercept of the line  lll  in the following figure in terms of the constants  AAA  and  BBB  ?

Accepted Answer

A)    −B/A-B / A−B/A 
B)    A+B A+BA+B 
C)    −AB-A B−AB 
D)    B−AB-AB−A

Question 15

Could the following table represent a linear function?

Accepted Answer

A) True 
 B)False

Question 16

The formula for the line intersecting the graph of $f(x)=\frac{1}{x}$ at $x=0.2$ and $x=2$ is given by $y=b+m x$, where $b=―――$ and $m=―――$

Accepted Answer

The answer of The formula for the line intersecting the...

Question 17

Suppose that $f(x)$ is linear with an $x$-intercept of -1 and a $y$-intercept of 5. If $f(x)=b+m x$, then $b=―――$ and $m=―――$

Accepted Answer

The answer of Suppose that $f(x)$ is linear with an...

Question 18

Match the graph to the linear inequality it represents.

Accepted Answer

A)    y≥34x+1y \geq \frac{3}{4} x+1y≥43​x+1 
B)    y≥34x−1y \geq \frac{3}{4} x-1y≥43​x−1 
C)    y≤43x−1y \leq \frac{4}{3} x-1y≤34​x−1 
D)    y≤−34x−1y \leq-\frac{3}{4} x-1y≤−43​x−1

Question 19

Determine the intersection of the linear functions

Accepted Answer

The answer of Determine the intersection of the linear functions
...

Question 20

Mark all of the following functions that are neither increasing nor decreasing.

Accepted Answer

A)    13f(x) −1=x\frac{1}{3} f(x) -1=x31​f(x) −1=x 
B)    −13g(x) =x+1-\frac{1}{3} g(x) =x+1−31​g(x) =x+1 
C)    4h(x) −x=34 h(x) -x=34h(x) −x=3 
D)    j(x) =3x j(x) =3 xj(x) =3x 
E)    k(x) =3 k(x) =3k(x) =3 F)   4p(x) −x=74 p(x) -x=74p(x) −x=7

Exam 1: Linear Functions and Change

The distance traveled by a car is D(t) =65tD(t) =65 tD(t) =65t miles, where ttt is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

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Suppose there are 110 people living in a small town and the rate of change of the town's population is 6 people per year. How many people will be living in the town twenty years from now?

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The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. Estimate C(2.5)C(2.5)C(2.5) .

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What is the vertical intercept of the line lll in the following figure in terms of the constants AAA and BBB ?

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If f(x) f(x) f(x) is an increasing function, which of the following must be true.

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In the following figure, let A=8A=8A=8 and B=4B=4B=4 . Find the equation of the line through (A(A(A , B)B)B) and (P,0)(P, 0)(P,0) and use it to find the value of PPP .

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The following figure gives lines A,B,C,DA, B, C, DA,B,C,D , and EEE . Their equations are given below. Which is the equation for line EEE ?

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Let y=p(x)y=p(x)y=p(x) be defined by the following graph. What is p(0)p(0)p(0) ?

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Could the following table represent a linear function?

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Write the relationship of population, PPP , as a function of time, ttt , in years using function notation. Assume a direct relationship.

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Determine the intersection of the linear functions

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Suppose that f(x)f(x)f(x) is linear with an xxx -intercept of -1 and a yyy -intercept of 5. If f(x)=b+mxf(x)=b+m xf(x)=b+mx , then b=―――b=―――b=――― and m=―――m=―――m=―――

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The formula for the line intersecting the graph of f(x)=1xf(x)=\frac{1}{x}f(x)=x1​ at x=0.2x=0.2x=0.2 and x=2x=2x=2 is given by y=b+mxy=b+m xy=b+mx , where b=―――b=―――b=――― and m=―――m=―――m=―――

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Are the lines represented by these equations parallel? Perpendicular? Or neither? 9 x+8 y=2 8 x+9 y=4

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Using the following figure, find the average rate of change of fff for 1<x<21<x<21<x<2 .

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One of the functions represented in the table below is linear. What is its vertical intercept?

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The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. If C(m)=9.5C(m)=9.5C(m)=9.5 , estimate mmm to 1 decimal place.

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Is the function graphed in the following figure increasing or decreasing on the interval 5 <x<7<\mathrm{x}<7<x<7 ?

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Mark all of the following functions that are neither increasing nor decreasing.

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Match the graph to the linear inequality it represents.

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The distance traveled by a car is $D(t) =65 t$ miles, where $t$ is the number of hours driven. What is the meaning of the number 65? (Mark all that apply)

Correct Answer
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Correct Answer
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The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. Estimate $C(2.5)$ .

Correct Answer
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What is the vertical intercept of the line $l$ in the following figure in terms of the constants $A$ and $B$ ?

Correct Answer
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If $f(x)$ is an increasing function, which of the following must be true.

Correct Answer
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In the following figure, let $A=8$ and $B=4$ . Find the equation of the line through $(A$ , $B)$ and $(P, 0)$ and use it to find the value of $P$ .

Correct Answer
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The following figure gives lines $A, B, C, D$ , and $E$ . Their equations are given below. Which is the equation for line $E$ ?

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Let $y=p(x)$ be defined by the following graph. What is $p(0)$ ?

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Correct Answer
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Write the relationship of population, $P$ , as a function of time, $t$ , in years using function notation. Assume a direct relationship.

Correct Answer
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Correct Answer
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Suppose that $f(x)$ is linear with an $x$ -intercept of -1 and a $y$ -intercept of 5. If $f(x)=b+m x$ , then $b=―――$ and $m=―――$

Correct Answer
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The formula for the line intersecting the graph of $f(x)=\frac{1}{x}$ at $x=0.2$ and $x=2$ is given by $y=b+m x$ , where $b=―――$ and $m=―――$

Correct Answer
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Correct Answer
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Using the following figure, find the average rate of change of $f$ for $1<x<2$ .

Correct Answer
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Correct Answer
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The following table shows the cost of a taxi ride, in dollars, as a function of miles traveled. Assume a linear relationship. If $C(m)=9.5$ , estimate $m$ to 1 decimal place.

Correct Answer
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Is the function graphed in the following figure increasing or decreasing on the interval 5 $<\mathrm{x}<7$ ? $Is the function graphed in the following figure increasing or decreasing on the interval 5 <\mathrm{x}<7 ?$

Correct Answer
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Correct Answer
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Match the graph to the linear inequality it represents. $Match the graph to the linear inequality it represents. A) y \geq \frac{3}{4} x+1 B) y \geq \frac{3}{4} x-1 C) y \leq \frac{4}{3} x-1 D) y \leq-\frac{3}{4} x-1$

Correct Answer
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