Question

Two friends, Julieta and Camila, had just bought their first cars. The equation

y = 38.8x represents the number of
miles, y, that Camila can drive her car for every a gallons of gas. Julieta uses 10 gallons of gas to drive 333 miles in her
car.

Answer 1

We can use the equation y = 38.8x to find how many miles Camila can drive her car for each gallon of gas, and then use that information to find how many gallons of gas she would need to drive the same distance as Julieta.

Julieta drives 333 miles using 10 gallons of gas, so her car can travel 333/10 = 33.3 miles per gallon.

To find how many miles Camila's car can travel per gallon, we can use the equation y = 38.8x, where x is the number of gallons of gas. If Camila uses 1 gallon of gas, then y = 38.8(1) = 38.8 miles. Therefore, Camila's car can travel 38.8 miles per gallon.

To travel 333 miles like Julieta, Camila would need to use:

333 miles / 38.8 miles per gallon = 8.58 gallons of gas

Therefore, Camila would need to use 8.58 gallons of gas to travel the same distance as Julieta.

Answer 2

The equation y = 38.8x shows that Camila's car can drive 38.8 miles per gallon. Julieta drives 333 miles using 10 gallons, giving her car a fuel efficiency of 33.3 miles per gallon, which is less than Camila's.

Step-by-step explanation:

The given equation y = 38.8x represents the linear relationship between gallons of gas (x) and miles driven (y) in Camila's car.

Julieta's consumption can be evaluated by considering that she uses 10 gallons of gas to drive 333 miles. To find the miles per gallon for Julieta's car, we divide the total miles by the gallons of gas used, which is 333 miles / 10 gallons = 33.3 miles per gallon.

To compare with Camila's car, we observe the slope of the linear equation, which in Camila's case is 38.8. This indicates that Camila can drive 38.8 miles per gallon of gas. Julieta's miles per gallon is less than Camila's, meaning Camila's car is more fuel-efficient according to these numbers.