Answer:
The equation is [tex]15+m\times10=75[/tex] and she deposited money for [tex]6[/tex] months.
Step-by-step explanation:
Given:
Amount in the savings account at the start [tex]=\$15[/tex].
Amount added each month [tex]=\$10[/tex].
Total amount in the bank now [tex]=\$75[/tex].
To find: The equation used to determine how many months, [tex]m[/tex], Stacy has deposited money into her savings account.
Solution:
Let Stacy deposited money in her savings account for [tex]m[/tex] months.
Amount in the savings account at the start [tex]=\$15[/tex].
Amount added each month [tex]=\$10[/tex].
Amount after one month [tex]=\$15+\$10[/tex].
Amount after two months [tex]=\$15+2\times \$10[/tex].
So, amount after [tex]m[/tex] months [tex]=\$15+m\times \$10[/tex].
Now, total amount in the bank now [tex]=\$75[/tex].
So, [tex]15+m\times10=75[/tex].
[tex]\Rightarrow m\times 10=75-15[/tex]
[tex]\Rightarrow m\times 10=60[/tex]
[tex]\Rightarrow m=\frac{60}{10}[/tex]
[tex]\Rightarrow m=6[/tex]
Hence, Stacy deposited money into her savings account for [tex]6[/tex] months.
