Tina is saving to buy a notebook computer. she has two options. the first option is to put $500 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?

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

The second option is to put $100 away initially and save $30 every month, so:

After how many months would Tina save the same amount using either option?

It will happen at the month n in which , so:

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose or , since they are equal

With either option, Tina would save $700.

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