CPM Homework Help : MC2 Problem 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.

Hint:

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

Help:

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.

More help:

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 $x$ .

Answer:

$15\frac{1}{3}$ months