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.
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.
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.
d = 44g.
To determine how far Maria can drive based on the gallons of gas in her car, we can use the formula:
Distance = (Number of gallons of gas) * (Average miles per gallon)
So, the equation to determine how far Maria can drive based on the gallons of gas in her car is:
Distance = (Gallons of gas) * (44 miles per gallon)
Now, let's find the rate of change or slope for Maria's situation. The rate of change represents how much the distance changes for each unit change in the number of gallons of gas.
In this case, the rate of change (slope) would be 44 miles per gallon, as for every additional gallon of gas, Maria can drive an additional 44 miles.
Therefore, the rate of change (slope) in Maria's situation is 44 miles per gallon.