Serena paid a tax of [tex]\[tex]$288[/tex] on a house assessed at [tex]\$[/tex]48,000[/tex]. Using the same tax rate, find the tax on a house assessed at [tex]\$59,000[/tex].



Answer :

Certainly! Let's break down the solution step by step.

1. Determine the Initial Tax Rate:
Serena paid a tax of \[tex]$288 on a house assessed at \$[/tex]48,000. To find the tax rate, we use the formula:
[tex]\[ \text{Tax Rate} = \frac{\text{Tax Paid}}{\text{Assessed Value}} \][/tex]
Substituting the given values:
[tex]\[ \text{Tax Rate} = \frac{288}{48000} \][/tex]
Simplifying this:
[tex]\[ \text{Tax Rate} = 0.006 \][/tex]

2. Apply the Tax Rate to the New Assessed Value:
Next, we need to find the tax on a house assessed at \$59,000 using the same tax rate of 0.006.
The formula to calculate the new tax is:
[tex]\[ \text{New Tax} = \text{New Assessed Value} \times \text{Tax Rate} \][/tex]
Substituting the values:
[tex]\[ \text{New Tax} = 59000 \times 0.006 \][/tex]
Performing the multiplication:
[tex]\[ \text{New Tax} = 354 \][/tex]

3. Conclusion:
The tax on a house assessed at \[tex]$59,000, using the same tax rate, would be \$[/tex]354.