### Home > MC2 > Chapter 8 > Lesson 8.2.4 > Problem8-71

8-71.

Daniella has $210$ in the bank and her balance is growing at a rate of $3$ each month. Lori has $187$ in the bank but her balance is growing at a rate of $4.50$ each month. Choose a graph, a table, or an equation to find when the girls will have the same amount of money. Explain your solution choice and show all your work.

To find the amount of money Daniella has gained, multiply the rate $\left(3\right)$ by the number of months.

To find the total amount of money Daniella has in the bank, the equation would be $210 + 3x$, where $x$ represents the number of months that have passed.
Find the equation that represents the amount of money Lori has in the bank.

Since you are looking for the time at which the girls will have the same amount of money, set the two equations equal to each other.
$210 + 3x = 187 + 4.5x$
Solve for $x$.

$15\frac{1}{3}$ months