Question

You are the crew chief of the Algebra 2 formula racing team. Your current task is to determine fuel consumption of both cars.

Car A travel 4x+12 miles and Car B travels 3x²-6x miles. Based upon tire wear (x), the cars will use 3x²+9x gallons of fuel.
Using the equation mileage = miles/gallons , find it for each car, and simplify the fraction?

Answer 1

To determine the fuel consumption of Cars A and B, we need to find their respective fuel economies. The fuel economy is the distance traveled divided by the amount of fuel used. By simplifying the given fractions, we can express the fuel economies of the two cars in simplified forms.

Step-by-step explanation:

To find the fuel consumption of each car, we need to calculate the fuel economy, which is the distance traveled divided by the amount of fuel used. Let's start with Car A:

Mileage of Car A = (4x + 12) / (3x^2 + 9x)

To simplify this fraction, we can divide the numerator and denominator by the greatest common factor (GCF) of both terms. In this case, the GCF is x:

Mileage of Car A = (4 + 12/x) / (3x + 9)

Now, let's move on to Car B:

Mileage of Car B = (3x^2 - 6x) / (3x^2 + 9x)

Again, we can simplify this fraction by dividing the numerator and denominator by the GCF, which is 3x:

Mileage of Car B = (x - 2) / (x + 3)