1.
2.
The cost, C, of renting a bicycle for h hours at a local bike shop is given by the linear
function C(h) = 5h + 10.
A.
How much would it cost if you rented the bike for ½ hour, 1 hour, 2 ¾ hours, 4
hours, 10 hours?
B.
What is the domain for C(h)?
C.
Could you spend $5 on your bike rental? Why or why not?
You join a spinning class at a local gym. The total cost for taking classes is represented
by the function S(x) = 10x + 50. You know that it costs $10 per class plus $50 for the
initial membership fee.
A.
Label the parts of the function below as the domain or range.
S(x)
3.
x
B.
What does the domain represent in the real-world context of the problem?
C.
What does the range represent in the real-world context of the problem?
D.
How much would it cost if you took 1 class, 2 classes, 5 classes, 10 classes?
E.
What is the domain for the function?
You are planning an ornamental garden that has a total area of 200 square feet. There
are two sizes of ornamental plants you have chosen for your garden. Each small plant
requires 2.5 square feet of space and each large plant requires 8 square feet of space.
This situation can be modeled by the equation 2.5x + 8y = 200 where x is the number of
small plants and y is the number of large plants to be placed in the garden.
A.
B.
C.
D.
E.
F.
Answer Key
What is the reasonable domain of the function?
What is the reasonable range of the function?
Identify the y-intercept of the function.
What does the y-intercept represent?
Identify the x-intercept of the function.
What does the x-intercept represent?
1.
A. ½ = $12.50, 1 = $15.00, 2 ¾ = $23.75, 4 = $30, 10 = $60
B. Domain for C(h) : h > 0
C. No, (sample answer: The minimum charge for the rental is $10 so you cannot spend
$5.)
2.
A. S(x) – Range
X – Domain
B. The domain represents the number of classes you take.
C. The range represents the total cost of the gym membership.
D. 1 = $60, 2 = $70, 5 = $100, 10 = $150
E. The domain is all positive integers. (You cannot pay for a partial class therefore all classes
have to be whole number. You also cannot pay for zero or negative classes therefore your
domain has to be positive.)
3. A. {x : 0 ≤ x ≤ 80}
B. {y: 0 ≤ y ≤ 25}
C. 25
D. Sample Answer: The y intercept represents the number of large plants placed in the
garden when no small plants were placed in the garden.
E. 80
F. Sample Answer: The x -intercept represents the number of small plants placed in the
garden when no large plants were placed in the garden.