an amusement park is installing a new roller coaster. the park intends to charge $5 per adult and $3 per child for each ride. It hopes to earn back more than the $475,000 cost of construction in four years. with the best of weather, the park can provide 120,000 adult rides and 30,000 child rides in one season.

Let X be the number of adult rides in 4 years and Y the number of child rides in 4 years. What system of inequalities best represents this situation?

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ShiningHalley ShiningHalley · Answer 1 · 2020-02-10T06:25:41+01:00

Answer:

The system of inequalities that best represents this situation is given by

x ≤ 480000

y ≤ 120000

5x + 3y ≥ 475000

Step-by-step explanation:

Let x be the number of adult rides in 4 years.

Let y the number of child rides in 4 years.

therefore x ≤ 4 [tex]\times[/tex] 120000 [tex]\Rightarrow[/tex] x ≤ 480000.

and y ≤ 4 [tex]\times[/tex] 30000 [tex]\Rightarrow[/tex] y ≤ 120000.

and also from the given information we get 5x + 3y ≥ 475000