Applying Proportionality

Suppose you want to leave a 15% tip on a restaurant bill of $45. What is the amount of tip you should leave?

• $60.00

• $0.15

• $6.75

• $15.00

Answer explanation

15% is the same as 10%+5%

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7.4.D

If a store marks up all of its prices by 25% and the cost for an item is $16, what is the customer's cost?

• $20
• $24
• $18
• $12

Answer explanation

Markdown means less money, markup means more.

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7.4.D

David purchases a vacuum that originally costs $259. What is the price of the vacuum with a 10% coupon?

• $249.10
• $245.90
• $233.10
• $225.90

Answer explanation

A coupon is a detachable part of a ticket or advertisement that entitles the holder to a discount.

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7.4.D

What is the formula for simple interest?

• I = P + R + T
• I = P * R * T
• I = P / R / T
• I = P - R - T

Answer explanation

Interest increases money in a savings account or on a loan.

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7.13.E

Rick wants to buy a pair of shoes for $60. The sales tax in his state is 6%. What is the total price Rick will pay for the shoes, including sales tax?

• $59.40
• $63.60
• $57.40
• $66.00

Answer explanation

Sales tax is a percent of the selling price of a good or service that is added to the price. When calculating the total cost of a good or service that includes sales tax (x%), multiplying the list price by (1 + %x) is the same as adding the sales tax (x%) to the list price.

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7.13.A

If Triangle A is an equilateral triangle with side lengths of 4 units and it is reduced by 50% to create Triangle B, what are the side lengths of Triangle B?

• 0
• 3
• 1
• 2

Answer explanation

If you draw Triangle A and Triangle B, the bottom sides of the triangles are corresponding sides.

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7.5.C

A rectangle has a height of 20 inches and a width of 15 inches. Determine the width of a mathematically similar rectangle that has a height of 16 inches.

• 10
• 12
• 8
• 14

Answer explanation

Figures that are proportional in size, or that have proportional dimensions, are called similar figures.

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7.5.C