1)At Silver Gym, a monthly membership is $25, and personal training sessions are $30 each. At Fit Factor, a monthly membership is $65, with $20 charged per personal
training session. How many personal training sessions would Sarah have to buy to
make the total of the two gyms equal? Create and solve an equation to determine
the answer.

2)If Sarah decided that, she needed to purchase 10 personal training sessions in a
month, which would offer her the better deal? Determine the cost of each package –
both Fit Factor and Silver Gym- and determine the better deal.

3)When would it make sense for Sarah to purchase a membership at Silver Gym? Fill in
the table to determine how many personal training sessions would make Silver Gym
cheaper than Fit Factor. Show your work after substituting. Circle the values of x
(training sessions) which apply.
Training
Sessions
x =
5
4
3
2
1
Silver Gym:
Fit Factor:

4)Can you come up with a different way to solve question 1? Think outside the box.

i need hep on solving question 2,3,4 i need it due in 5 min

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240