2
QuizMultiple Choice

Rate of Change and Introduction to Slope — Quiz

Question 2 • Mathematics 8

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

Answer
A
Because 3 fifths is less than 2 thirds , the slope of the climbing equipment at the playground is greater.
B
Because 5 thirds is less than 3 halves , the slope of the climbing equipment at the playground is greater.
C
Because 5 thirds is greater than 3 halves , the slope of the climbing equipment at the gym is greater.
D
Because 3 fifths is greater than 2 thirds , the slope of the climbing equipment at the gym is greater.

Explanation

Slope is the vertical rise divided by the horizontal distance. The playground equipment has slope 6/4 = 3/2, and the gym equipment has slope 10/6 = 5/3. Since 5/3 is greater than 3/2, the gym equipment has the greater slope, as choice C states.

AI-written and checked against the verified answer.

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