Question

Sarah wants to buy the car that has a better mileage rating. Cars of Company A travel 20 miles per gallon, and cars of Company B travel 14 km per liter.

[1 mile = 1.6 km; 1 gallon = 3.79 liters]

Part A: Which company's car should Sarah buy? Justify your answer by comparing the mileages after converting to the same units. (5 points)

Part B: If 10 gallons of gas is filled in the car which gives better mileage and you went on a drive and checked on the gas used every 30 miles, describe appropriate scales on the x-axis and y-axis to graph the rate at which the car uses gas. (5 points)

Answer 1

@$w3G_Godd

Answer 2

Company B's car travels at 33 miles per gallon. Therefore, it is the car that Sarah should buy.

Answer 3

first part is car 2

Answer 4

I would use the X-axis to show how many miles you've traveled, and I would scale it to increments of 10 miles. The Y axis would show how much gas you have left, and scaled to increments of 1 gal

Answer 5

I need the mileage and conversion rate for part A

Answer 6

Well, you know the "better" car uses roughly 1 gallon of gas for every thirty miles traveled (33 as you said, but we're rounding). So if you stop every thirty miles to check the gas, each time you stop you will be down 1 gallon. This means that the most times you stop is 10 times, because if you tried for 11, you'd be walking with a gas can. So your X-axis, which is the times you stopped will range from 0 (beginning) to 10 (nearly out of gas). Your y-axis is how much gas you had when you checked each time. It starts at 10 and goes to zero. So I'd say reasonable scales would be 0 to 10 on both the x and y axis.

Technically, your teacher might want 11 on the x-axis because the MPG is actually 33 so you can go possibly further than 10 stops, but if you justify your answer sufficiently then they should give you most if not all the credit. The question is not absolute, but subjective. Some people like to see some of the graph empty for a sense of scale. Also, tell them you're not getting 33 MPG because you keep stopping and having to accelerate. The 33 would be cruising in high gear without accelerating or decelerating : P. Just put 11 on the x-axis the more I think about it. They'll try to ding you since in the word problem you have to assume you're getting your 33 MPG. With 10 gallons you can go 330 miles and stopping every 30 miles gives you 11 stops.

Answer 7

But like what exactly do i write for part b because i cant draw a graph because it's just with my words. idk what to say.

Answer 8

@$w3G_Godd