A straight forward algebra question teaching lines.
Question Two: A gym has a membership with both a lump sum annual fee denoted L and a pertime visit fee of f. The total amount spent by a member during a year is denoted Y and the number of visits per year is denoted X. The equation for total amount spent is of the form
Question Two: A gym has a membership with both a lump sum annual fee denoted L and a pertime visit fee of f. The total amount spent by a member during a year is denoted Y and the number of visits per year is denoted X. The equation for total amount spent is of the form
Y=L+f*X
I have data on total amount spent and total
number of visits for two people.
Visits

Dollars Spent

45

700

30

550

What is the value of L, the lump sum annual fee,
and the value of f, the pervisit fee?
Answer: The slope of the line is 10
(700550)/(4530). The line runs through
(30,550) so solving for L we get 55010*30 or L=250.
The equation for the line is
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