Question

Hayley is considering two gym membership plans. The plans are detailed here.

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

Plan 2: $10 for each gym visit

What is a system of equations that represents the costs of the plans?

Express your equations in the form y=mx+by=mx+b where x is the number of gym visits per month and y is the total cost per month.

Enter your equations in the boxes.

Answer 1

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

So, the monthly pass is 50 plus 3 for each visit. You know 50 stays constant no matter how much Hayley goes to the gym so you can already put that into the form as 'b' also known as the y-intercept.

y=mx+50

Now, you need to find the slope which is the amount it increases or decreases by every time. Since Hayley gets charged $3 every visit, that would be the slope (m).

Plan 1: y=3x+50

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Plan 2: $10 for each gym visit

There is only a slope (m) for this. Technically there is a y-intercept (b), but since that is 0 it is not needed. Plug in the values.

y=mx+b
y=10x

Answer 2

Answer:

Plan 1: y=3x+50

Plan 2: $10 for each gym visit

hope this helped