Answer:
Step-by-step explanation:
Identify what you are asked to find. What is the sales tax?
Choose a variable to represent it. Let t = sales tax.
Write a sentence that gives the information to find it. The sales tax is 6.5% of the purchase price.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. t = 25.48
Check: Is this answer reasonable? Yes, because the sales tax amount is less than 10% of the purchase price.
Write a complete sentence that answers the question. The sales tax is $25.48.
(b)
Identify what you are asked to find. What is the total cost of the bicycle?
Choose a variable to represent it. Let c = total cost of bicycle.
Write a sentence that gives the information to find it. The total cost is the purchase price plus the sales tax.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. c = 417.48
Check: Is this answer reasonable? Yes, because the total cost is a little more than the purchase price.
Write a complete sentence that answers the question. The total cost of the bicycle is $417.48.
Exercise 6.3.1 :
Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.
Answer a
Answer b
Exercise 6.3.2 :
Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.
Answer a
Answer b
Example 6.3.2 :
Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?
Solution
Identify what you are asked to find. What is the sales tax rate?
Choose a variable to represent it. Let r = sales tax.
Write a sentence that gives the information to find it. What percent of the price is the sales tax?
Translate into an equation.
Divide.
499r499=42.42499(6.3.1)
Simplify r = 0.085
Check. Is this answer reasonable? Yes, because 8.5% is close to 10%. 10% of $500 is $50, which is close to $42.42.
Write a complete sentence that answers the question. The sales tax rate is 8.5%.
Exercise 6.3.3 :
Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?
Answer
Exercise 6.3.4 :
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
