Question

Valentina purchased a shirt for $29.00. Determine the proportion to use to find the tax she will pay if the tax rate is 5.5%.(1 point)
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Question 2


Determine the total price of the shirt including the tax.

(1 point)
$
Round the answer to the nearest hundredth.
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Answer 1

Valentina purchased a shirt for $29.00. Determine the proportion to use to find the tax she will pay if the tax rate is 5.5%.(1 point)

Answer 2

To find the tax Valentina will pay on the shirt, you can set up a proportion based on the tax rate. The tax rate of 5.5% can be expressed as a decimal:

\[ 5.5\% = 0.055 \]

Now you can find the tax by multiplying the shirt's price by the tax rate:

\[ \text{Tax} = \text{Price} \times \text{Tax Rate} \]
\[ \text{Tax} = 29.00 \times 0.055 \]

Calculating this:

\[
\text{Tax} = 29.00 \times 0.055 = 1.595
\]

Now, rounding this to the nearest hundredth:

\[
\text{Tax} \approx 1.60
\]

Next, to determine the total price including the tax, you can add the tax to the original price:

\[
\text{Total Price} = \text{Price} + \text{Tax}
\]
\[
\text{Total Price} = 29.00 + 1.60 = 30.60
\]

Therefore, the total price of the shirt including the tax is:

**Total Price: $30.60**

Answer 3

To determine the proportion to find the tax Valentina will pay on her $29.00 shirt with a tax rate of 5.5%, you can represent the relationship between the tax amount, the shirt price, and the tax rate as follows:

1. Let \( T \) be the tax amount.
2. The tax rate as a decimal is \( 5.5\% = 0.055 \).
3. The shirt price is \( 29.00 \).

The formula for the tax can be expressed as:

\[
T = P \times R
\]

Where:
- \( T \) is the tax amount.
- \( P \) is the price of the shirt ($29.00).
- \( R \) is the tax rate (0.055).

Now you can set up the proportion based on this:

\[
\frac{T}{P} = R
\]

Substituting the known values into this proportion gives:

\[
\frac{T}{29.00} = 0.055
\]

This proportion can be used to find the tax amount \( T \). Just multiply both sides by \( 29.00 \) to solve for \( T \):

\[
T = 29.00 \times 0.055
\]

Thus, the proportion you use to find the tax is:

\[
\frac{T}{29.00} = 0.055
\]