Answer:
Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?
Step-by-step explanation:
Given: the inequality is ![384+2x](https://tex.z-dn.net/?f=384%2B2x%3C6x)
To find: the correct option
Solution:
Let x denotes number of times gym is used.
As Mega Gym charges a $384 registration fee and $2 each time the gym is used,
Total amount charged by Mega Gym = ![\$(384+2x)](https://tex.z-dn.net/?f=%5C%24%28384%2B2x%29)
As Super Gym charges a fee of $6 every time the gym is used,
Total amount charged by Super Gym = ![\$\,6x](https://tex.z-dn.net/?f=%5C%24%5C%2C6x)
In order to find number of times, x Super Gym is used such that cost of Super Gym exceeds the cost of Mega Gym,
Solve the inequality:
cost of Super Gym > cost of Mega Gym
![6x>384+2x\\384+2x](https://tex.z-dn.net/?f=6x%3E384%2B2x%5C%5C384%2B2x%3C6x)
So, the correct option is '' Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym? ''