Question

Meg is heading back to her car after a hike to Misty Falls. The waterfall is at an elevation of
4,000 feet, and the trail descends an average of 500 feet for every 1 mile she hikes. You can
use a function to approximate Meg's elevation after she hikes x miles.
write and equation for the function, if it is linear, write the form h(x)=mx+b, if it is exponential, write it in the form h(x)=a(b)^x

Answer 1

The linear function is given by h(x) = -500x + 4000

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let h represent the elevation after hiking x miles.

The waterfall is at an elevation of 4,000 feet, hence b = 4000

The trail descends an average of 500 feet for every 1 mile she hikes, hence m = -500

The linear function is given by:

h(x) = -500x + 4000

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