1. Select all representations for the domain of a function given by the number of minutes spent studying for this test in the last hour.

Question

A) (0, 60)
B) (60, ∞)
C) {x| x > 60}
D) {x| x ∈ R}
E) [0, 60]
F) [0, ∞)
G) {x | 0 ≤ x ≤ 60}

4. The cost to rent a motorcycle includes a one-time refundable fee and the cost per day the motorcycle is rented. The total cost to rent a motorcycle for one or more days can be represented by the function C(n) = 85n + 100 where 𝑛 represents the number of days the motorcycle is rented. What does the value 85 represent in this scenario?
A) 85 represents the total amount spent to rent the motorcycle
B) 85 represents the one-time refundable fee
C) 85 represents how many days the motorcycle was rented for
D) 85 represents the cost per day the motorcycle is rented

Answer 1

1. The domain of the function representing the number of minutes spent studying for the test in the last hour should include all possible values from 0 minutes to 60 minutes. Therefore, the valid representations for the domain are:

A) (0, 60) - This is not correct since it does not include the endpoints. E) [0, 60] - This is correct as it includes both 0 and 60 minutes. G) {x | 0 ≤ x ≤ 60} - This is correct as it describes all values between 0 and 60 inclusive.

Thus, the correct options are E and G.

4. In the function C(n) = 85n + 100, where n represents the number of days the motorcycle is rented, the coefficient 85 is multiplied by n, indicating that it represents the cost per day to rent the motorcycle. Therefore, the correct answer is:

D) 85 represents the cost per day the motorcycle is rented.