Question

Tom took a taxi to the airport. He paid the driver the fee of $48 and gave her an additional 15% tip.
(a)
Let x be the amount Tom gave as a tip (in dollars). Using the values below, create a proportion that can be used to find x.
?
Values: 15, 48, 100, x
(b)
Use the proportion from part (a) to find the amount Tom gave as a tip. Do not round any computations.
Amount of tip: $
(c)
What was the total amount Tom gave the driver, including the tip? Do not round any computations.
Total amount:

Answer 1

(a) We can set up the proportion based on the relationship between the tip percentage and the taxi fee. Tom gave a tip of 15% of $48, which can be expressed in a proportion as follows:

\[
\frac{x}{48} = \frac{15}{100}
\]

Where:
- \( x \) is the amount of the tip (in dollars).
- 15 is the percentage of the tip.
- 100 is the total percentage (representing 100%).

(b) Now, we can solve for \( x \) using the proportion established:

\[
\frac{x}{48} = \frac{15}{100}
\]

To find \( x \), we cross-multiply:

\[
100x = 15 \times 48
\]

Calculating \( 15 \times 48 \):

\[
15 \times 48 = 720
\]

So we have:

\[
100x = 720
\]

Now, divide both sides by 100:

\[
x = \frac{720}{100} = 7.2
\]

Thus, the amount Tom gave as a tip is:

Amount of tip: **$7.20**

(c) To find the total amount Tom gave the driver including the tip, we add the taxi fee and the tip:

\[
\text{Total amount} = 48 + x = 48 + 7.2 = 55.2
\]

Total amount: **$55.20**