Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 16, 2023

Rafael took a taxi, paid $\$ 46$ and gave a $15\%$ tip. (a) Create a proportion to find the tip amount $x$ . (b) Use the proportion to find the tip amount without rounding. Amount of tip: $\$ x$

STEP 1

Assumptions1. The taxi fee is $46. The tip rate is15%
3. The tip is calculated as a percentage of the taxi fee

STEP 2

We need to create a proportion that can be used to find the tip amount. A proportion is a statement that two ratios are equal. In this case, the ratio of the tip amount to the taxi fee is equal to the ratio of the tip rate to100.
$\frac{x}{46} = \frac{15}{100}$

STEP 3

Now, we can fill in the values in the proportion table. The first row represents the tip amount and the taxi fee, and the second row represents the tip rate and100.
\begin{tabular}{c}Values $15 \quad46 \quad100$ \\ $x \quad46$ \\ $15 \quad100$ \\ \hline\end{tabular}

STEP 4

Now, we can use the proportion to solve for the tip amount. Cross-multiply and solve for $x$ .
$x = \frac{15 \times46}{100}$

STEP 5

Calculate the tip amount.
$x = \frac{15 \times46}{100} = \$.9$ Rafael gave a tip of $.9.

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