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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

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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



Math – graph of  savings over time






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



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