Question

Helpp me pleaseee!!!!!A box race track charges a membership fee and and entry fee per race. One racer paid a total of $76after 3 races.Another racer paid a total of $124 after 7 races.
What is the entry fee (rate of change) per race
How much does the track membership cost?
Write an equation that gives the total cost as a function of the number of races entered.

Answer 1

Answer:

$12 per game, $40 for a membership, y = 12x + 40

Step-by-step explanation:

e = entry fee , m = membership, y = total cost

3e + m = 76

7e + m = 124

m = 124 - 7e

3e + (124 - 7e) = 76

-4e + 124 = 76

-4e = -48

e = 12

The entry fee is $12 per game

m = 124 - 7e

m = 124 - 7(12)

m = 124 - 84

m = 40

The cost of a membership is $40.

Check:

40 + 3(12) = 76

40 + 36 = 76

76 = 76

The prices are correct so the equation would be:

y = 12x + 40