Question

20 points

Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $20 every month. The second option is to put $100 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.

Answer 1

10 months

$500

Explanation:

Option 1

• 300 + 20x, where x is the number of months

Option 2

• 100 + 40x

Both options reveal same amount:

• 300 + 20x = 100 + 40x
• 300 - 100 = 40x - 20x
• 200 = 20x
• x = 200/20
• x= 10 months

Cost of notebook:

• 300 + 20*10 = 300 + 200 = $500