Question

An amusement park charges $5 for admission and $0.80 for each ride. Suppose you go to the park with $15. Write an inequality that describes the number of rides you can go on. What is your maximum number of rides?

a) (0.80m + 5 ≤15); Maximum number of rides: (m = {15 - 5}/{0.80})

b) (0.80m + 5 < 15); Maximum number of rides: (m = {15 - 5}/{0.80})

c) (0.80m - 5 ≥ 15); Maximum number of rides: (m = {15 - 5}/{0.80})

d) (0.80m - 5 > 15); Maximum number of rides: (m = {15 - 5}/{0.80})

Answer 1

The correct inequality for the scenario is 0.80m + 5 ≤ 15. Upon solving for m, we find that the maximum number of rides is 12.5, which we round down to the whole number, 12.

Step-by-step explanation:

To determine the number of rides you can go on at the amusement park with $15, while accounting for a $5 admission fee, we can write an inequality. Let m represent the number of rides. Each ride costs $0.80, so the total cost for m rides would be $0.80m. Adding the admission fee, the inequality that describes the situation is:

0.80m + 5 ≤ 15

This inequality means that the cost of m rides plus the admission fee must be less than or equal to $15.

To find the maximum number of rides, we can solve for m in the equation:

m = (15 - 5) / 0.80

Calculating this gives us:

m = 10 / 0.80 = 12.5

Since you can't go on half a ride, the maximum whole number of rides is 12.

So, the correct option is:

(a) (0.80m + 5 ≤ 15); Maximum number of rides: (m = {15 - 5}/{0.80})