Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote
and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude? a. One gym charges $75 per month.
b. Each gym charges $75 per month.
c. Both gyms charge the same monthly rate and the same membership fee.
d. Both gyms charge the same monthly rate, but not the same membership fee.
The resulting equation 75 = 75 is an identity; this tells that the two equations of the system are equivalent, this is they both represent the same function. So, Lian can conclude that (option c) both gyms charge the same monthly rate and the same membership fee<span>.</span>
Not sure what we need to do for this question, as it appears that you have already completed it, but looking over your answer, the graphed relationship looks correct! And it would take 3 cups of flour to make 90 cookies, as per the table.
