Question

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?

Answer 1

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 $\times$ 120000   $\Rightarrow$ x ≤ 480000.

and y ≤ 4 $\times$ 30000  $\Rightarrow$  y ≤ 120000.

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