Question

A membership at Gisele’s Gym costs $145 to join and $3 for each visit.

A membership at Freddie’s Fitness costs $75 to join and $5 for each visit.

For which number of visits would both locations have the same total cost?

Answer 1

Answer:

35

Step-by-step explanation:

1.A membership at Gisele’s Gym costs $145 to join and $3 for each visit.  

2.A membership at Freddie’s Fitness costs $75 to join and $5 for each visit.

An equation for 1. will be 145+3v  (145 dollars is the fixed rate and v is the number of visits)

An equation for 2. will be 75+5v  (75 dollars is the fixed rate and v is the number of visits)

$145+3v=75+5v\\70=2v\\v=35$

Answer 2

By making a system of equations we will see that for 35 visits both locations have the same total cost.

Writing the system of equations.

We need to start by writing the equations that we will use.

For Gisele's Gym there is a fixed cost of $145 plus $3 per visit, so if there are x visits, the total cost is:

y = $145 + $3*x

For Freddie's Fitness the total cost will be:

y = $75 + $5*x

So our system of equations is:

y = $145 + $3*x

y = $75 + $5*x

The total cost is defined by the variable "y", so both locations will have the same total cost when:

$145 + $3*x = y = $75 + $5*x

$145 + $3*x =  $75 + $5*x

$145 - $75 = $5*x - $3*x

$70 = $2*x

$70/$2 = 35 = x

So, for 35 visits, both locations have the same total cost.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904