Set up and solve a system of equations to solve the problem. Casey wants to buy a gym membership. One gym has a $60 joining fee and costs $30 per month. Another gym has no joining fee and costs $50 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?

The first Gym when he joins we will have to pay 60 dollars and in a 30 witch cost 90 dollers. but the second gym cost 50 $ per month so the first gym in a year he will pay 450$ and the second one 600 so the first one is cheeper.

Step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

35-60 students are taking math.