Shana is climbing a mountain at a constant pace. She rises in elevation by 17.5 feet per minute. After hiking for 30 minutes, a GPS app tells her that her elevation is 2,165 feet above sea level. Write a linear function for Shana's elevation, E, above sea level as a function of the time, t, she has been climbing in minutes.

The linear equation for Shana's elevation is .

Step-by-step explanation:

According to the statement, we find that Shana is climbing at constant rate in time and height as a function of time can be represented by linear function:

(Eq. 1)

Where:

- Initial height above sea level, measured in feet.

- Elevation above sea level, measured in feet.

- Climbing rate, measured in feet per minute.

- Time, measured in minutes.

If we know that , and . the initial height above sea level is:

The linear equation for Shana's elevation is .

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17