Homework Quizizz 12/16-12/20

Daria is trying to make a triangular brace from three metal rods. The metal rods have lengths of 3 inches, 7 inches, and 11 inches. Daria cannot cut or bend the metal rods. Which statement explains whether Daria can make a triangular brace from the three metal rods?

• Because 11 is less than the double of 7, Daria can make a triangular brace from the three metal rods.

• Because 11 is greater than the double of 3, Daria cannot make a triangular brace from the three metal rods.

• Because the sum of 3 and 7 is less than 11, Daria cannot make a triangular brace from the three metal rods.

• Because the product of 3 and 7 is greater than 11, Daria can make a triangular brace from the three metal rods.

A shipping company has two different sizes of boxes. Both boxes are cubes. The first box has a side length of 4 inches. The second box has a side length of 6 inches. Hannah claims that the volume of the second box is 8 cubic inches greater than the volume of the first box because the difference in side lengths is 2 inches and 2³ = 8. Which statement could be used to show that Hannah’s claim is not correct?

• The value of 2³ is 6, not 8.

• The value of (6 - 4)³ is equal to 6³ - 4³ not 2³.

• The difference in the volumes is actually 6³ - 4³, which is 152 and not 8.

• The difference in the volumes is actually

  6 ⋅ 6² - 6 ⋅ 4², which is 120 and not 8.

While on a road trip with his family, Tristan records the price of a gallon of gasoline they buy each day. The change in price each day is shown in the table below. Which statement about the average change in price for a gallon of gasoline is true?

• The average change in price is negative because the largest amount of change is -$0.12 and that affects the average the most.

• The average change in price is positive because the total change is positive, and a positive total change in price divided by 4 days is positive.

• The average change in price is negative because the total change is negative, and a negative total change in price divided by 4 days is negative.

• The average change in price is positive because change represents subtraction, and when the values are subtracted the result is a positive number.

Taylor Swift is 72 inches tall. In a photograph, she is 4 inches tall. Identify the scale factor of Taylor Swift to the photograph.

• 1/4

• 1/18

• 18

• 5/4

Find the surface area of the three-dimensional shape.

• 880 cm sq.

• 952 cm sq.

• 1352 cm sq.

• 1378 cm sq.

Olivia dove off a cliff that was 19 feet above sea level. If she traveled 12 feet below the surface of the water, what was the total distance Olivia traveled during her dive?

• 7 feet

• 12 feet

• 23 feet

• 31 feet

Lottie gives music lessons to local community members. After giving 12 lessons, she earned $282. At this rate, how much money will Lottie make after 50 lessons?

• $564

• $1,175

• $1,410

• $1,739

Which situation(s) represents a proportional relationship? Select all that apply.

• A delivery service charges $3 per package and a $2 fuel charge.

• A gas station charges $2.17 per gallon of gas.

• An airplane is at an altitude of 5,800 ft and descends 650 feet per minute.

• A waitress earns $8.25 per hour plus tips.

Use the graph below to identify the equation for Joe’s hourly earnings.

• y = 15x

• y = 2x

• y = 30x

• y = x

The ratio of cats to dogs at the SPCA is 3:5. If there are a total of 56 cats and dogs at the SPCA, how many of them are dogs?

• 21 Dogs

• 34 Dogs

• 35 Dogs

• 93 Dogs