Question

1. a purchase costs $25.79 with a tax of $1.29. find the sales tax rate.
2. art for a craft project, you select the four packages of modeling clay and the set of tools shown at the right. if there is a 6% sales tax, what is the total cost?

$2.79 each plus tax
$1.79 plus tax

1. a real estate agent earns a weekly salary of $200. this week, the agent sold a home for $120,000 and was paid a 5.5% commission. find the agents earnings for the week.
2. sales a store pays a 6% commission on the first $500 in sales and 8% on sales over $500. find the commission on an $800 sale.
3. open-ended if your employer

Explanation:

Problem 23

Step1: Define tax rate formula

Tax rate = $\frac{\text{Tax Amount}}{\text{Pre-tax Cost}} \times 100\%$

Step2: Substitute given values

$\text{Tax rate} = \frac{1.29}{25.79} \times 100\%$

Step3: Calculate the rate

$\frac{1.29}{25.79} \approx 0.0500$, so $0.0500 \times 100\% = 5.00\%$

Step1: Calculate pre-tax total cost

$4 \times 2.79 + 1.79 = 11.16 + 1.79 = 12.95$

Step2: Calculate tax amount

$\text{Tax} = 12.95 \times 0.06 = 0.777$

Step3: Find total cost

$\text{Total Cost} = 12.95 + 0.777 = 13.727$

Step1: Calculate commission amount

$\text{Commission} = 120000 \times 0.055 = 6600$

Step2: Add weekly salary

$\text{Total Earnings} = 200 + 6600 = 6800$

Answer:

$5.00\%$

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Problem 24