Question

For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Find the total number of visits when the cost for a member and nonmember will be the same.

480

175

60

30

Answer 1

Answer:Your answer would be 60

Explanation:

go into desmos input 360x+4 into the top space and under it input 10x+6

the y coordinate should be your answer.

Answer 2

30 visits

Explanation:

y=4x+360

y=10x+6x

i'll solve for x through elimination.

first combine like terms, y=10x+6x = y=16x

then subtract x from both equations.

y-4x=4x-4x+360 = y-4x=360

y-16x=16x-16x = y-16x=0

then rearrange the two equations by terms, y-y-4x+16x

solve, y-y=0, 16x-4x=12x

12x=360

divide both sides by 12.

x=30