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Dale wants to go to the park, and he plans to ride 8 rides. Which package should

ID: 3005304 • Letter: D

Question

Dale wants to go to the park, and he plans to ride 8 rides. Which package should he choose in order to get the best deal and why? Justify your answer with mathematics. Carla wants to ride 20 rides when she goes to the park. Which package should she choose in order to get the best seal and why? Justify answer with mathematics. Write an expression for the cost riding n rides on the All-Day Fun Pass: write an expression for the cost of riding n rides on the Ride-Busters Pass: write and solve an inequality that expresses the number of rides, n for which the Ride-Buster Pass is greater than the All-Day Fun Pass.

Explanation / Answer

a) If the dale chooses all day fun pass

Amount Paid = 8 * 3.25 = $26

If he chooses ride-busters pass

Amount Paid = 29.25 + 8 * 1.25 = $39.25

Hence the dale should opt for All-day fun pass, since he would be able to save $13.25

b) If the Carla chooses all day fun pass

Amount Paid = 20 * 3.25 = $65

If he chooses ride-busters pass

Amount Paid = 29.25 + 20 * 1.25 = $54.25

Hence the Carla should opt for ride buster pass pass, since he would be able to save $10.75

c)

Cost for n rides in all day fun passes = $3.25n

d)

Cost of n rides in ride buster pass = $29.25 + $1.25n

e)

$29.25 + $1.25n > $3.25n

29.25 > 2n

n < 14.625

f)

If the number of rides by a person is less than or equal to 14, then he should opt for all day fun pass otherwise he should opt for ride-buster pass in order to save money