Maria's car averages 44 miles per gallon. Maria wants to determine how far she can drive based on the gallons of gas in her car.

Question

Write an equation to determine how far she can drive based on the gallons of gas in her car.

What is the rate of change (slope) for Maria's situation?

I am super stuck, can some please help.

Answer 1

Let's start here: "Write an equation to determine how far she can drive based on the gallons of gas in her car."

So when we write an equation, there's usually an independent and dependent variable. In this case, how far she can drive DEPENDS ON the gallons of gas in her car.

So how far she can drive is the dependent variable, and the gallons of gas in her car is the independent variable.

Let's substitute f for "how far she can drive" and g for "gallons of gas.

She can drive 44 miles per gallon

So how far she can drive is 44 miles per gallon.

So, f = 44 per g

Per means multiply:

f = 44g

Now, the slope is the coefficient, or number multiplied by, the independent variable, when the dependent variable has a coefficient of 1.

So, whatever is multiplied by g (your independent variable) in the above equation is your slope, given that in the above equation f is isolated, or by itself.

Answer 2

d = 44g.