Question

The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000?

Answer 1

y=2,570-125.50x
$1600<y<$2000
1600<2,570-125.50x
125.50x<970
x<-7.73
2000>2,570-125.50x
125.50x>570
x>-4.542 so x=5 & 6 & 7
for may june july

Answer 2

2570 - 125.5(5) = 1942.5
2570 - 125.5(6) = 1817
2570 = 125.5(7) = 1691.5

months 5,6,and 7.....May,June, and July