One year ago, Derek joined a health club. He paid a yearly membership fee of $259.99 that covers all the clubs services expect use of the racquetball courts. Derek paid $3.75 each time he used a racquetball court. For the entire year at the health club, Derek paid a total of 436.24. Write an equation to represent the problem. Use ā€œrā€ to represent the number of times Derek used one of the racquetball courts. Explain your reasoning. Solve the equation you wrote in part a to find how many times Derek used a racquetball court. Show or explain how you found your answer.

Respuesta :

Derek used the racquetball courts 47 times

Solution:

Given that,

Derek paid a yearly membership fee of $259.99 that covers all the clubs services expect use of the racquetball courts

Derek paid $3.75 each time he used a racquetball court

For the entire year at the health club, Derek paid a total of 436.24

Let "r" represent the number of times Derek used one of the racquetball courts

Therefore,

[tex]Amount\ paid = 259.99 + 3.75 \times r[/tex]

Amount paid = 259.99 + 3.75r

Derek paid a total of 436.24

Therefore,

436.24 = 259.99 + 3.75r

3.75r = 436.24 - 259.99

3.75r = 176.25

Divide both sides by 3.75

r = 47

Thus Derek used the racquetball courts 47 times