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+b where x is the number of gym visits per month and y is the total cost per month.

Answer 1

The systems of equations for the gym membership plans are y = 3x + 50 for Plan 1 (monthly pass plus per-visit fee) and y = 10x for Plan 2 (per-visit fee only).

Step-by-step explanation:

To create a system of equations that represents the costs of the two gym membership plans based on the number of gym visits per month, we use the equation format y = mx + b, where 'x' is the number of gym visits and 'y' is the total cost.

For Plan 1, which has a $50 monthly pass and a $3 fee for each gym visit, the equation would be:

y = 3x + 50

For Plan 2, which costs $10 for each gym visit, the equation would be:

y = 10x

Here, the 'm' value (slope) represents the cost per visit, and the 'b' value (y-intercept) represents the monthly pass cost or the initial fixed cost.

Answer 2

1: y = 3x + 50
2: y = 10x