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? January February March April May June July August September October November December

Answer 1

Ans. The months in which the equation meets the given conditions are between the months of April and May.

Step-by-step explanation:

Hi, well, we need to solve the following inequations.

2,000 > 2,570 - 125.5x

and

1,600 < 2,570 - 125.5x

The first one goes like this

125.5x < 2,570 - 1600

x < 970/125.5

x < 7,729083665

The nearest whole number less than 7.729083665 is 7, therefore July is one of the months.

Let´s do the same to find the other month, this time, we use the following inequation.

125.5x > 2,570 - 2000

x > 570/125.5

x > 4,541832669

The nearest whole number greater than 4,541832669 is 5, therefore May is one of the months.

Best luck.