Big Gym Fitness charges $22 per month for a membership. All-Day Fitness charges $20 per month plus $50 membership fee. After how many months will the total amount paid to the two fitness clubs be the same?

25 months

Step-by-step explanation:

Big Gym Fitness charges $22 per month for a membership.

After x months, the charges will be:

22 * x = 22x

All-Day Fitness charges $20 per month plus $50 membership fee.

The membership fee is a one time payment. Hence, after x months, the charges will be:

50 + 20*x = 50 + 20x

After a certain number of months (x months) , the two fitness clubs will have the same charges. This occurs when:

22x = 50 + 20x

Hence, solving for x:

22x - 20x = 50

2x = 50

x = 50 / 2 = 25 months.

Their charges will be the same after 25 months.

answer: add the !

step-by-step explanation: then we will answer

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.