SOLUTION: Suppose you were given $700 from your uncle. You deposited that money in a bank and added $75 per month. Write an equation to model how much money you have deposited after "m"

Question 1134991: Suppose you were given $700 from your uncle. You deposited that money in a bank and added $75 per month.
Write an equation to model how much money you have deposited after "m" months. Let "s" be the amount you have deposited._______

What equation would you solve to figure out how many months it would take to save $10,000?_____________
How many months would it take to save $10,000?_________

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
You start with 700, so at m=0, s=700 (or s(0) = 700 in functional notation).

After 1 month, you will have added $75, so s(1) = 700+75 = 775
After 2 months, you will have added 2*$75 so s(2) = 700+2*75 = 850
...
After m months, you will have added m*$75 so s(m) = 700+m*75 or, writing 75m instead of 75*m:

(This whole discussion assumes no interest is accumulating)

To figure out how many months it would take to save $10000, set s(m) to 10000 and solve for m:

m = (10000 - 700)/75 = __________ you can do the arithmetic

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