Question

2. A student usually saves $20 per month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation 350 = 12(x+20) to represent the situation. Solve the equation for x. Show your work or explain your answer. Write your answer as a sentence that describes what the variable x represents. ​

Answer 1

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

Explanation:

350 = 12(x + 20)

Multiply out brackets: 350 = 12x + 240

Subtract 240 from both sides: 110 = 12x

Divide both sides by 12: 9 1/6 = x

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.