Question

The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
10 weeks
13 weeks
15 weeks
21 weeks

Answer 1

To find out how many weeks it will take for the balance in the medical savings account to reach $67, we can set \( y \) to 67 in the equation \( y = -24x + 379 \) and solve for \( x \):

\[
67 = -24x + 379
\]

First, subtract 379 from both sides:

\[
67 - 379 = -24x
\]

Calculating the left side:

\[
-312 = -24x
\]

Now, divide both sides by -24:

\[
x = \frac{-312}{-24} = 13
\]

Thus, the account will have $67 left after **13 weeks**. Therefore, the answer is **13 weeks**.