Question

Tina is saving to buy a notebook computer.she has two option.the first option is to put $200 away initially and save $10 every month.the second option is to put $100 away initially and save $30 every month.after how many months would tina save the same amount using either option?how much would she save with either option?

Answer 1

Hey!
To find out how long it would take for both functions to equal the same thing, you would set them equal to each other, like this:

<span />

Then you would combine like terms. Keep in mind that when doing operations over the equal sign, you have to do the opposite operation. After combining like terms, you would have



So at this point, you just simplify.



It would take 5 months for the amount of money to be equal. She would save $250 with either option.
Hope this helped :)