#15., #16., #17. 15. Ann’s gym charges $20 per month plus $5 per visit. Write an equation for how much Ann's gym charges for x visits in one month. 16. Blake’s gym charges $30 per month plus $3 per visit. Write an equation for how much Blake's gym charges for x visits in one month. 17. What is the solution to this system of equations?

Answer 1

15. The equation for how much Ann's gym charges for x visits in one month is:

Cost = $20 + $5x

16. The equation for how much Blake's gym charges for x visits in one month is:

Cost = $30 + $3x

17. To find the solution to this system of equations, we can set the two equations equal to each other:

$20 + $5x = $30 + $3x

Subtract $3x from both sides:

$2x = $10

Divide by $2 on both sides:

x = 5

Therefore, the solution to this system of equations is x = 5, which means that after 5 visits in one month, both Ann and Blake's gym will charge the same amount.