Delilah wants to join a gym,so she shops around to find the one with the lowest overall price(she is not sure how long she will be a member).She finds the Harbor Square Athletic Club is running a special,and only charges a $35 initiation fee plus $83 a month to be a member.The local YMCA charges $105 to join,and has a monthly fee of $55. a.Find the equations for the linear models for the costs of the Harbor Square Athletic Cluband the YMCA.Use C =cost($)and m =months. Athletic Club: YMCA: b.Use algebra to determine when she will have spent a total of $600 at Harbor Square:after how many months. Show all work
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Delilah wants to join a gym,so she shops around to find the one with the lowest overall price(she is not sure how long she will be a member).She finds the Harbor Square Athletic Club is running a special,and only charges a $35 initiation fee plus $83 a month to be a member.The local YMCA charges $105 to join,and has a monthly fee of $55.
a.Find the equations for the linear models for the costs of the Harbor Square Athletic Cluband the YMCA.Use C =cost($)and m =months.
Athletic Club:
YMCA:
b.Use algebra to determine when she will have spent a total of $600 at Harbor Square:after how many months.
Show all work

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