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

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

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.