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

posting the same question twice strange......

Answer 2

one method is finding the equation for the line between (5, 25) and (10,40)

Answer 3

it's not, hashir! it's sifferent!

Answer 4

or we can just reason it out

Answer 5

*different

Answer 6

you pick

Answer 7

so m+5f=25 and m+10f=40

Answer 8

m+5f=25
m+10f=40
f=3
m=10

Answer 9

its the same one!!!!!!!!!!

Answer 10

yikes. ok we reason it out.
5 sessions cost $25
10 cost $40
so the 5 additional sessions cost an additional $15 therefore each one cost $3

Answer 11

since you know each one cost $3 then 5 sessions cost $15 for the sessions and therefore since the total was $25 the flat fee must have been $10

Answer 12

this is exactly the same as saying "find the equation for the line between the points (5,25) and (10,40)
the "slope" of the line is
\[\frac{40-25}{10-5}=\frac{15}{5}=3\]

Answer 13

that is the rate per class. the y - intercept is 10, that is the flat fee. you get it by solving
\[25=3\times 5+b\] for b