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Mathematics 66 Online
payton:

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? One gym charges $75 per month. Each gym charges $75 per month. Both gyms charge the same monthly rate and the same membership fee. Both gyms charge the same monthly rate, but not the same membership fee.

lowkey:

What do you think?

payton:

want me to guess this one?

lowkey:

In a system of equations, when two numbers are equal to each other, it means infinite solutions ( when graphed they're the same line)

payton:

well i feel like its either d or c

lowkey:

And what statement here shows that both memberships have the same slope and rate?

lowkey:

no, it's actually not! it is B. Since 75=75, it means there are infinitely many solutions and their rates are they same.

payton:

oh i thought it had something to do with both of them

lowkey:

Nope! You were on the right track though

payton:

ok

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