Question

To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended 5 sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions.  Show how to solve this, using any method.

Answer 1

(5,25)(10,40)
slope = (40 - 25) / (10 - 5) = 15/5 = 3

y = mx + b
slope(m) = 3
(5,25)...x = 5 and y = 25
sub and find b, the y int
25 = 3(5) + b
25 = 15 + b
25 - 15 = b
10 = b

equation is : y = 3x + 10...sessions are $ 3 and the membership fee is $ 10