Question

Harvey rides his bike at an average speed of 12 miles per hour. In other words, he rides 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be the distance he traveled. Write an equation for the relationship between distance and time in point-slope form.​

Answer 1

The equation representing the relationship between the distance Harvey travels on his bike and the time is d = 12h, where d is the distance in miles and h is the number of hours ridden.

Step-by-step explanation:

The relationship between distance (d) and time (h) when Harvey rides his bike at an average speed of 12 miles per hour can be expressed in the form of a linear equation. Given that average speed is distance traveled divided by time of travel, we can write the equation as:

d = speed × time

Substituting the given speed of 12 miles per hour, the equation becomes:

d = 12h

This is the linear equation showing the relationship between the distance Harvey travels and the number of hours he rides.

Answer 2

Step-by-step explanation:

Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.

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You have three points relating time and distance:

(1,12),(2,24),(3,36)

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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12

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The intercept is the distance you would travel in no time; that would be zero.

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The equation is: distance = 12(time)

d = 12t