Lazy Gym charges a one-time registration fee of $30 plus $10 per fitness class. Get Abs Gym charges no registration fee but charges $15 per fitness class. For how many fitness classes does Get Abs Gym cost less than or the same as Lazy Gym?

x 6

Step-by-step explanation:

First, set up expressions to represent the costs of both gyms, where x is the number of fitness classes:

Lazy Gym can be represented by 10x + 30

Get Abs Gym can be represented by 15x

Then, create an inequality equation to represent the situation. Since we are trying to find when Get Abs Gym is cheaper than or equal to Lazy Gym, we will use a less than or equal to sign:

15x 10x + 30

Then, solve for x:

15x 10x + 30

5x 30

x 6

So, at 6 fitness classes, the prices will be the same. For more than 6 fitness classes, Get Abs Gym will be cheaper than Lazy Gym.

y = x² - 2

Step-by-step explanation:

Quadratic Parent Function: y = a(bx + h)² + k

k = vertical movement up/down

Since we are only dealing with a vertical shift down, we are only modifying variable k

k = -2

y = x²

y = x² - 2