# Equation to Represent Savings

Save for a \$14,500 Car

Ms. Graham wants to buy a new car. She already has \$4500 and plans to save \$2000 per year.
a. Write an equation to represent her saving, s, in terms of time, t.
b. If her dream car cost \$14,500, how long will she need to save her money?

### Comments for Equation to Represent Savings

 Dec 17, 2012 Equation by: Staff Answer Ms. Graham wants to buy a new car. She already has \$4500 and plans to save \$2000 per year. a. Write an equation to represent her saving, s, in terms of time, t. s = savings t = time in years Equation which represents savings: She already has \$4500 and plans to save \$2000 per year s = 4500 + future savings s = 4500 + 2000*t Final Equation: s = 4500 + 2000*t b. If her dream car cost \$14,500, how long will she need to save her money? s = 4500 + 2000*t s must equal \$14,500 to buy the car substitute \$14,500 for s, and then solve for t 14500 = 4500 + 2000*t 4500 + 2000*t = 14500 Subtract 4500 from each side of the equation 4500 + 2000*t - 4500 = 14500 - 4500 4500 - 4500 + 2000*t = 14500 - 4500 0 + 2000*t = 14500 - 4500 2000*t = 14500 - 4500 2000*t = 10000 Divide each side of the equation by 2000 2000*t / 2000 = 10000 / 2000 t * (2000 / 2000) = 10000 / 2000 t * (1) = 10000 / 2000 t = 10000 / 2000 t = 5 Time Required to Save: t = 5 years Thanks for writing. Staff www.solving-math-problems.com