AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYDirect and Inverse Variation

Direct and Inverse Variation — Quiz Answers

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1
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Which graph represents a direct variation?

A
Image with description On a coordinate plane, a curve goes through the point negative 1 comma negative 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.
B
Image with description On a coordinate plane, a line passes through the point negative 1 comma negative 3, the point 0 comma 0, and the point 1 comma 3.
C
Image with description On a coordinate plane, a curve goes through the point negative 1 comma 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma negative 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.
D
Image with description On a coordinate plane, a line passes through the point negative 2 comma negative 3, the point 0 comma negative 2, and the point 2 comma negative 1.
2
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A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?

A
18
B
45
C
33
D
27
3

Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an average speed of 40 miles per hour, the same trip takes 2 point 5 hours. If time, y , varies inversely with speed, x , how long will the trip take traveling at 45 miles per hour? Round your answer to the nearest hundredth, if necessary.

A
4 point 4 4
B
2 point 2 5
C
4 point 5 0
D
2 point 2 2
5

Norman makes 15 dollars commission for selling 200 dollars in merchandise. He makes 37 point 5 0 dollars commission for selling 500 dollars in merchandise. Assuming that the variables are directly related and Norman wants to make 150 dollars in commission, what is the total value of merchandise he needs to sell?

A
612 point 5 0 dollars
B
5,000 point 0 0 dollars
C
335 point 0 0 dollars
D
2,000 point 0 0 dollars
6

The amount of resistance, y , in a circuit varies inversely to the current, x , in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present. How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest tenth, if necessary.

A
8 ohms
B
7 point 5 ohms
C
50 ohms
D
120 ohms
7

Which best describes the function on the graph?

A
direct variation; k is equal to 1 fourth
B
inverse variation; k is equal to 4
C
inverse variation; k is equal to 1 fourth
D
direct variation; k is equal to 4
8

Which best describes the function on the graph?

A
direct variation; k is equal to negative 1 half
B
direct variation; k is equal to negative 2
C
inverse variation; k is equal to negative 2
D
inverse variation; k is equal to negative 1 half
10

Which best describes the function represented by the table?

A
direct variation; k is equal to 1 tenth
B
inverse variation; k is equal to 10
C
direct variation; k is equal to 5 halves
D
direct variation; k is equal to 2 fifths

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