Question

Nine friends went to a restaurant for dinner and spent a total of $85. They agreed to split the bill evenly. How much should each friend pay for the dinner?
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1 point
Consider the linear function ƒ(x) 25x + 250 for the following context. Wanda starts off with $250 in her bank account. If she saves $25 every week (where x represents the number of weeks that she has been saving money), how much would Wanda have in her account after 17 weeks?

Answer 1

To find out how much each friend should pay for the dinner, you can divide the total bill by the number of friends:

\[
\text{Total Bill} = \$85
\]
\[
\text{Number of Friends} = 9
\]

Now, divide \( 85 \) by \( 9 \):

\[
\text{Amount each friend pays} = \frac{85}{9} \approx 9.44
\]

So, each friend should pay approximately **$9.44**.

---

Now, for Wanda's savings:

The function provided is \( f(x) = 25x + 250 \), where \( x \) is the number of weeks saving.

To find out how much Wanda will have after 17 weeks, substitute \( x = 17 \) into the function:

\[
f(17) = 25(17) + 250
\]

Now calculate:

\[
= 425 + 250 = 675
\]

So, after 17 weeks, Wanda will have **$675** in her bank account.