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. Enter your equations in the boxes. Plan 1: Plan 2: .

The linear system equation of Plan 1 and Plan 2 is y = 50x + 3 and y = 50x + 10 and the cost for a month is $53 and $60 respectively.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Hayley is considering two gym membership plans.

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

Plan 2: $10 for each gym visit.

Let x be the month and y be the total cost per month.

we know the equation y = mx + c

Where m be monthly pass and c be the fee for each gym visit.

For plan 1

y = 50x + 3

For a month the cost will be.

[tex]\rm y = 50*1 + 3\\y = 53[/tex]

The cost for a month is $53.

For plan 2

y = 50x + 10

For a month the cost will be.

[tex]\rm y = 50*1 + 10\\y = 60[/tex]

The cost for a month is $60.

Thus, the linear system equation of Plan 1 and Plan 2 is y = 50x + 3 and y = 50x + 10 and the cost for a month is $53 and $60 respectively.

More about the linear system link is given below.

https://brainly.com/question/20379472