George makes a $1000 down payment for a car and then pays $325 per month. elaine makes a $2500 down payment for a car and then pays $325 per month. is there any number of months after which both george and elaine will have paid the same total amount? explain.

No. After any number of months, the total amount paid by both can't be the same.

Step-by-step explanation:

The down payment made by George = 1000

The down payment made by Elaine = 2500

Difference = 2500 - 1000 = 1500

Monthly payment by George = 325

Monthly payment by Elaine = 325

Difference = 0

Total difference between the payment made by them = 1500 + 0 = 1500.

Since, this is the difference for every month, the total amount paid by both can never be the same.

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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.