Question

A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.

Question 1
Part A

Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.

Answer 1

Explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132