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A bunny hop is a bike trick in which the rider brings both tires off the ground without using a ramp. The table shows the height y (in inches) of a bunny hop on a bike that weighs x pounds.

Write a function that relates the height of the bunny hop to the weight of the bike.

Weight, x 10 15 20

Height, y 12 11 10

Sagot :

elphantowlgirl

Answer:

y = -1/5x + 14

Step-by-step explanation:

In order to write the easiest and most common equation of the line (or, as the question puts it, a function that relates x to y), y = mx + b, you need to find the slope (m) and the y-intercept (b). For the slope, pick any two points and take their change in x and divide it by their change in y. For example, for the points (10,12) and (20, 10) in the table, you'd do (10-12)/(20-10) = -2/10 = -1/5, so your slope is -1/5. This would make your "placeholder equation" y = -1/5x + b Next, you find the b term by plugging any point into your "placeholder equation" and solving for b. For example. 10 = -1/5(20) + b, which is the same as 10 = -4 + b, and add 4 to both sides to find that b is 14.

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