Answer:
The amount will be y = 970
Step-by-step explanation:
Equation 1:
y = 60 + 65x
Equation 2:
y = 200 + 55x
Solve for x and y
60 + 65x = 200 + 55x
10x = 140
x = 14
y = 200 + 55 (14)
y = 970
HOPE THIS HELPS :)
Answer:
1) 14 months
2) $970
Step-by-step explanation:
We know that the Community Gym charges a $60 membership fee and a $65 monthly fee.
So, we can write the following equation:
[tex]y=60+65m[/tex]
Where y is the total cost, 60 is the one-time membership fee, and 65m is the cost for m months.
Workout Gym charges a $200 membership fee and a $55 monthly fee. So, we can write the following equation:
[tex]y=200+55m[/tex]
Where y is the total cost, 200 is the one-time membership fee, and 55m is the cost for m months.
Question 1)
We want to know after how many months will the total amount of money paid to both gyms be the same. So, let's set the equations equal to each other:
[tex]60+65m=200+55m[/tex]
To find the number of months, let's solve for m.
Subtract 55m from both sides:
[tex]60+10m=200[/tex]
Subtract 60 from both sides:
[tex]10m=140[/tex]
Divide both sides by 10:
[tex]m=14[/tex]
So, after 14 months, the cost of going to Community Gym or Workout Gym will be the same.
Question 2)
To find the amount, simply substitute 14 back into either equation. Let's do it for both.
We have:
[tex]y=60+65m[/tex]
Substitute 14 for m:
[tex]y=60+65(14)[/tex]
Multiply and add:
[tex]y=60+910=\$970[/tex]
We have:
[tex]y=200+55m[/tex]
Substitute 14 for m:
[tex]y=200+55(14)[/tex]
Multiply and add:
[tex]y=200+770=\$970[/tex]
So, after 14 months, both gym will cost $970.
And we're done!
