In order to play in chess tournaments at the Marshall Club, Malik pays a fee to become a member. In addition, he pays a set rate for each tournament in which he competes. After competing in 4 tournaments Malik has paid a total of $85, and after competing in 7 tournaments he has paid a total of $130. Malik's friend Masai gets a discount on membership to the Marshall Club and pays $10 less for the membership fee than Malik. Which linear equation gives the total price, p, Masai will pay to compete in t tournaments at the Marshall Club?

p = 22.50 + 15t

Step-by-step explanation:

For Malik :

Membership fee = m

Rate per tournament = t

After 4 tournaments :

m + 4t = 85 - - - (1)

After 7 tournaments :

m + 7t = 130 - - - (2)

Subtract 2 from 1

4t - 7t = 85 - 130

-3t = - 45

t = 45 / 3

t = 15

Put, t = 15 in (1)

m + 4(15) = 85

m + 60 = 85

m = 85 - 60

m = 25

Massai pays 10% less membership fee than Malik

Hence, Massai's membership fee:

(100 - 10)% * 25

0.9 * 25 = $22.50

Total price, p, Massai will pay to compete in t tournaments ;

Total price = membership fee + (rate per tournament * number of tournaments)

p = 22.50 + 15t

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