Question

A student usually saves $25 a month. He would like to reach a goal of saving $400 in 12 months. The student writes the equation 400 = 12(×+ 25) to represent this situation. Solve the equation for x.Show your workWrite your answer as a sentence that describes what the variable x represents

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

$25 / month = monthly savings

$400 = goal

12 months = time

400 = 12 * (x + 25 ) ====> equation

Step 02:

400 = 12 (x + 25)

400 = 12 x + 12(25)

400 = 12 x + 300

400 - 300 = 12 x

100 / 12 = x

8.33 = x

x = $8.33

The answer is:

The variable x represents the amount of additional money the student must save each month to reach the goal.

x = $8.33