Question

Charlie is at an amusement park that has 18 different rides. Each ride costs $1.75. The function an = 1.75r represents the total amount of money that Charlie will spend if he goes on r rides, but he never goes on the same one more than once. What domain and range are reasonable for the function?

A. Domain: 0 ≤ r ≤ 18, Range: $0 ≤ an ≤ $31.5
B. Domain: 1 ≤ r ≤ 18, Range: $1.75 ≤ an ≤ $31.5
C. Domain: 0 ≤ r ≤ 18, Range: $0.5 ≤ an ≤ $31.5
D. Domain: 0 ≤ r ≤ 31.5, Range: $0.5 ≤ an ≤ $18

Answer 1

The domain for the function is 0 ≤ r ≤ 18, and the range is $0 ≤ an ≤ $31.5.

Step-by-step explanation:

The domain and range for the function an = 1.75r can be determined based on the given information.

Domain: In this case, domain represents the possible values for 'r', which is the number of rides Charlie goes on. Since Charlie can go on any number of rides from 0 to 18, the reasonable domain for this function is 0 ≤ r ≤ 18.

Range: The range represents the possible values for 'an', which is the total amount of money Charlie will spend. The cost of each ride is $1.75, so the range for this function is $0 ≤ an ≤ $31.5.