Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

A music store is selling posters and CDs. The store profits $3.00 from each
poster sold and $5.00 from each CD sold. The store needs to make an average profit of $200 per hour
to stay in business. Using x as the number of posters sold and y as the number of CDs
sold, write and graph an inequality for the number of each item the store needs to sell to stay in
business. If 15 posters are sold, how many CDs must be sold?


2.

The cost of a school banquet is $95 plus $15 for each person attending. Write an
equation that gives total cost as a function of the number of people attending. What is the cost for
77 people?
a.  y = 15x – 95; $1060  c.  y = 15x + 95;
$1250  b.  y = 95x + 15; $7330  d.  y = 95x – 15;
$7300 


3.

The cost to fill a car’s tank with gas and get a car wash is a linear
function of the capacity of the tank. The costs of a fillup and a car wash for three different
customers are shown in the table. Write an equation for the function in slopeintercept form. Then,
find the cost of a fillup and a car wash for a customer with a truck whose tank size is 22
gallons. Tank size (gal) (x)  Total cost
($) f(x)  11  21.45  15  28.25  17  31.65   
a.  ; Cost for truck = $36.00  b.  ;
Cost for truck = $40.15  c.  ; Cost for truck =
$14.60  d.  ; Cost for truck =
$37.45 


4.

Vijay’s family is staying at a campground this summer. The table shows the
canoe rental rates at this campground. Write a linear equation to model the relationship between the
total cost, c, and the rental time, h, for canoe rentals. Then give realworld
interpretations for the slope and yintercept in your equation. Length of Rental (hr)  Total Cost ($)  2  4.44  4  5.64  6  6.84  8  8.04   
a.  The slope, 2.22, represents the hourly cost of
the rental. The yintercept is 0, so there is no onetime fee for the
rental.  b.  The slope, 0.60, represents the hourly cost of
the rental. The yintercept, 3.24, represents the onetime fee for the
rental.  c.  The slope, 1.01, represents the hourly cost of
the rental. The yintercept is 0, so there is no onetime fee for the
rental.  d.  The slope, 5.40, represents the hourly cost of
the rental. The yintercept, 1.67, represents the onetime fee for the
rental. 

Short Answer


1.

Gregory ordered small trees to plant. The table below gives the cost of ordering
different numbers of trees. In each case, the cost includes a shipping charge. Number of trees  2  4  6  8  10  Total cost  27  39  51  63  75        Part A: Explain
why the situation can be modeled by a linear equation. Part B: Write an equation
that gives the cost as a function of the number of trees shipped. What is the shipping
charge? Part C: The company changes the shipping charge to $25. Write a new equation
that gives the cost as a function of the number of trees shipped.
