Question

Reuben took a taxi to the airport. He paid the driver the fee of $34 and gave her an additional 18% tip.
(a) Let x be the amount Reuben gave as a tip (in dollars). Using the values below, create a proportion that can be used to find .
Values:

_________ _________
(b) Use the proportion from part (a) to find the amount Reuben gave as a tip. Do not round any computations.
(c) What was the total amount Reuben gave the driver, including the tip? Do not round any computations.

Answer 1

To tackle the problem step by step:

### (a)

Let's denote the fee paid to the driver as \( F = 34 \) dollars, and the tip (which is 18% of the fee) as \( x \). The mathematical expression for the tip in terms of \( F \) can be framed as:

\[
x = 0.18 \times F
\]

Now, we can form a proportion to solve for \( x \):

\[
\frac{x}{F} = \frac{0.18 \times F}{F}
\]

This simplifies to:

\[
\frac{x}{34} = \frac{0.18 \times 34}{34}
\]

So the values to create the proportion would be:

\[
x \quad 0.18 \times 34
\]

### (b)

Now, calculate the amount Reuben gave as a tip \( x \):

\[
x = 0.18 \times 34
\]

Calculating this:

\[
x = 0.18 \times 34 = 6.12
\]

So, Reuben gave a tip of **$6.12**.

### (c)

To find the total amount Reuben gave the driver, including the tip, we add the fee and the tip together:

\[
\text{Total} = F + x = 34 + 6.12
\]

Calculating this:

\[
\text{Total} = 34 + 6.12 = 40.12
\]

Therefore, the total amount Reuben gave the driver, including the tip, is **$40.12**.