Question

Stacy starts a savings account with $15. Each month she deposits $10 more into her account. Stacy has now saved $75. What equation can be used to determine how many months, m, Stacy has deposited money into her savings account

Answer 1

The equation is
`15+m*10=75` and she deposited money for
`6` months.

Explanation:

Given:

Amount in the savings account at the start
`=\$15`.

Amount added each month
`=\$10`.

Total amount in the bank now
`=\$75`.

To find: The equation used to determine how many months,
`m`, Stacy has deposited money into her savings account.

Solution:

Let Stacy deposited money in her savings account for
`m` months.

Amount in the savings account at the start
`=\$15`.

Amount added each month
`=\$10`.

Amount after one month
`=\$15+\$10`.

Amount after two months
`=\$15+2* \$10`.

So, amount after
`m` months
`=\$15+m* \$10`.

Now, total amount in the bank now
`=\$75`.

So,
`15+m*10=75`.

`\Rightarrow m* 10=75-15`

`\Rightarrow m* 10=60`

`\Rightarrow m=(60)/(10)`

`\Rightarrow m=6`

Hence, Stacy deposited money into her savings account for
`6` months.