Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 every month. The second option is to put $300 away initially and save $50 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?

10 months. Each plan will save 800 dollars.

Step-by-step explanation:

500 + 30x = y

300 + 50x = y

You want the months to give the same amount of money. The x has to be the same for both

500 + 30x = 300 + 50x        Subtract 300 from both sides

500 - 300 + 30x = 50x         Combine

200 + 30x = 50x                   Subtract 30x from both sides

200 = 50x - 30x                    Combine

200 = 20x                              Divide by 20

x = 10

So in 10 months time the amounts will be the same. How much will there be?

500 + 30*10 = 500 + 300 = 800

300 + 50*10 = 300 + 500 = 800

b.an increase in a causes b to decrease

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