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Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1 mile decreases by 33 steps per 1 inch increase in height. Suppose a person 72 inches tall makes 2,250 steps per mile.

A. Find a linear model of the number of steps S per mile as a function of height h (in inches).
S = ______

B. Use the model to predict the number of steps per mile a person who is 68 inches tall will take.

Respuesta :

The number of steps per mile for a person who is 64 inches tall will be 2354.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1-mile decreases by 33 steps per 1-inch increase in height.

Suppose a person 72 inches tall makes 2,250 steps per mile.

70 inches tall makes 2150 steps per 1 mile.

For every inch of height gain, the count of steps required to walk a mile drops by 34.

If the count of steps is S and the height is h, we have the following issue.

S = 2150 - 34(h -70)

Therefore the linear model will be

S = 2150 -34(h - 70)

Now for h = 64, we have

S = 2150 - 34(64 - 70)

S = 2150 - 34 ( -6)

S = 2150 + 204

S = 2354

The number of steps per mile for a person who is 64 inches tall will be 2354.

More about the Algebra link is given below.

https://brainly.com/question/953809

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