MATH
Math Models with Applications
Curriculum Based Assessment (CBA)
#5
1
A cell phone costs $149. Inflation is at 4%.
How much will the phone cost next year if the rate of inflation remains at 4%?
A
$153.00
B
$154.96
C
$156.50
D $158.20
2
Trevor is planning to buy a new car.
The graph below shows the number of gallons of gas for one of the models as a
function of the number of miles driven.
If Trevor buys the car and travels 225 miles, approximately how many gallons of gas
will he use?
F
15 gallons
G 16 gallons
H 17 gallons
J
18 gallons
3
You are working as a valet driver.
The pay is $5.25 per hour, plus tips. The schedule includes a maximum of 5 evening
shifts per month and each shift is 6.5 hours long.
Calculate your monthly gross pay if you work all 5 evening shifts and earn $625 in
tips.
A
$659.13
B
$795.63
C
$657.50
D $170.63
4
Marty is buying his mom a new microwave as a gift.
The total cost of the microwave is the price of the microwave, m, plus 8.25% sales
tax, plus the delivery fee of $25.00.
If the total cost, c, is a function of the price of the microwave, m, which function
models the situation?
F
c = 1.0825 + 25m
G c = (1.0825 + m) + 25
H c = .0825m + 25
J
c = 1.0825m + 25
5
The church preschool is selling candy bars as a fundraiser.
They paid $250 for the candy bars and will sell them for $2.00 each.
The function that represents the relationship between the candy they sell, x, and the
profit, p, they make is represented by the function f(x) = 2x - 250.
What is the independent variable in the relationship?
A
profit made by the candy sales
B
selling price of the candy
C
number of people who bought candy
D number of candy bars sold
6
Amy works for a bridal store. She makes a base salary of $500, plus 4% commission.
Write an equation to compute Amy's salary per week.
F
.04x + 500 = y
G 500x + .04 = y
H 500(.04)x = y
J
7
.04(x + 500) = y
A sweater costs a department store $26.95. The selling price of the sweater is
$48.51. What is the mark-up rate of the sweater?
A
56%
B
$21.56
C
80%
D $37.73
8
The stopping distance, d (in feet), for a car moving at a velocity, (speed) v miles per
hour, is modeled by the equation d = 0.04v2 + 1.1v.
What is the stopping distance if the velocity is 85 mph?
Justify your answer.
F
382.5 feet
G 329.16 feet
H 423 feet
J
465.5 feet