QuestionFind the slope of $g(m)=13.6-0.037 m$ and explain its meaning for Bethany's fuel consumption while driving.

Studdy Solution

STEP 1

Assumptions1. The function $g(m)=13.6-0.037 m$ represents the number of gallons of fuel in Bethany's tank after driving $m$ miles. . The slope of the graph of $g$ is -0.037.

STEP 2

The slope of a function in a real-world context often represents a rate of change. In this case, the slope of the function $g(m)$ represents the rate at which the fuel in Bethany's tank is being consumed as she drives.

STEP 3

The negative sign of the slope indicates that the quantity of fuel is decreasing as the number of miles driven increases.

STEP 4

The absolute value of the slope,0.037, represents the amount of fuel consumed per mile driven.

STEP 5

Therefore, the interpretation of the slope in this context is that Bethany's car consumes0.037 gallons of fuel for each mile she drives.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms