A participant in a 21-mile walkathon walks at a steady rate of 3 per hours. He thinks, "the relationship between the number of miles left to walk and the number of hours I already walked can be represented by a line with slope - 3." Do you agree with his claim? Explain your reasoning.

Question

Mathematics

Paul

Today, 05:50

A participant in a 21-mile walkathon walks at a steady rate of 3 per hours. He thinks, "the relationship between the number of miles left to walk and the number of hours I already walked can be represented by a line with slope - 3." Do you agree with his claim? Explain your reasoning.

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Answers (1)

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Hank · Answer 1

No

Step-by-step explanation:

The distance walked can be represented by the equation

y=3t where y represents the distance covered and t is the time taken

From the above equation, relating to y=mx+c where m is the slope and c is y intercept, for our equation, m=3 hence the slope is 3, not - 3. Therefore, the claim is incorrect.