Question

use the following information to answer questions 4 - 6. sporty’s gym charges an enrollment fee of $100 plus $85 a month for gym membership while fun fitness charges an enrollment fee of $250 plus $70 a month for gym membership. 4. circle the values that represent the coefficients (cost for x months). place a box around the values that represent the constants. part a: write an expression that represents the total cost of membership at sporty’s gym and at fun fitness. sporty gym: __________ fun fitness: ________ part b: write an equation that can be used to find the number of months, x, when the total cost of memberships at the two gyms are equal. equation: ____________________ 5. solve the equation that can be used to find the number of months when the total costs of memberships are equal. then fill in the blank with your response. it will take ______ months when the total costs of memberships are equal. 6. what is the cost of membership at each gym for the number of months determined? a. $850 b. $950 c. $700 d. $450

Explanation:

Step1: Write cost expressions

Sporty Gym: $100 + 85x$. Fun Fitness: $250+70x$

Step2: Set costs equal

$100 + 85x=250 + 70x$

Step3: Solve for x

$85x-70x=250 - 100$, $15x = 150$, $x = 10$

Step4: Find cost

Substitute $x = 10$ into Sporty Gym's expression: $100+85\times10=950$

Answer:

Part A: Sporty Gym: $100 + 85x$, Fun Fitness: $250+70x$
Part B: $100 + 85x=250 + 70x$

1. 10
2. B. $950$