Question

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600
item is $42
, what is the sales tax on a $930
item?

Answer 1

To find the sales tax on a $930 item, we first need to determine the sales tax rate based on the information provided for the $600 item.

We know that the sales tax \( T \) can be expressed as:
\[
T = k \cdot C
\]
where \( k \) is the sales tax rate and \( C \) is the cost of the item.

Given that the tax on a $600 item is $42, we can set up the equation:
\[
42 = k \cdot 600
\]

Now, we can solve for \( k \):
\[
k = \frac{42}{600} = 0.07
\]

This means the sales tax rate is 7%.

Next, we calculate the sales tax on a $930 item using the same rate:
\[
T = k \cdot C = 0.07 \cdot 930
\]

Calculating this gives:
\[
T = 0.07 \cdot 930 = 65.1
\]

Therefore, the sales tax on a $930 item is **$65.10**.