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

@SolomonZelman

Answer 2

are you still here @SolomonZelman

Answer 3

1 gallon = 20 miles
1 liter = 14 km

I would use liters and kn (SI units).
1 gallon = liters 3.78
1 mile = 1.609 km

3.78 liters = 20 times 1.609 km
1 liter = 14 km

3.78 liters = 32.18 km
1 liter = 14 km

1 liter = 8.51 km
1 liter = 14 km

Answer 4

1 gallon = 20 miles
1 liter = 14 km

I would use liters and kn (SI units).
1 gallon = liters 3.78
1 mile = 1.609 km

3.78 liters = 20 times 1.609 km
1 liter = 14 km

3.78 liters = 32.18 km
1 liter = 14 km

1 liter = 8.51 km
1 liter = 14 km

Answer 5

So, we see that Car A goes
1 liter = 8.51 km

and Car B is
1 liter = 14 km

Answer 6

So, therefore we can see that Car B is by far more efficient.

Answer 7

Oh my gosh thank you so much

Answer 8

Anytime... you can do part B on your own hopefully.

Answer 9

Probably :) you are an Honorary Professor you probably own a college

Answer 10

@SolomonZelman liters equal 3.79 not 3.78

Answer 11

3.78541 is rounded up to 3.79

Answer 12

because 5,6,7,8,9 round to 10
and 1,2,3,4 round to 0

Answer 13

And even if it is 3.78 I guarantee that it wouldn't make any difference in terms of which Car is better.

Answer 14

I am saying that it is 3.79, because you put 3.78 go above and see

Answer 15

ohh, true that, so the numbers would differ a bit, but again, then Car B would be still better.
Because with 3.79 conversion factor, you would get only a bit more (about 9) liters in Car A.
So it would be (for Car A) 1 liter = 9 miles

Answer 16

ok I thanks I did not know if it would change or not.

Answer 17

No, unless you were talking about very very big numbers, not some 20 gallons per miles.

The smaller the numbers the less the preciseness of the conversion factors matters/

Answer 18

One more thing, 1 liter = 14 kilometers @SolomonZelman

Answer 19

That is not a conversion factor, that is the equation for Car B

Answer 20

Ohh, no UI am not THAT stupid, although I am pretty stupid.

Answer 21

lol you are obviously not look at your title

Answer 22

so what is the equation for them now @SolomonZelman

Answer 23

you mean the exact equation for each car, (without having made my small mistakes) ?

Answer 24

And the title, doesn't say anything what so ever....

Answer 25

yes

Answer 26

and also don't doubt yourself you are obviously smart in whatever way :)

Answer 27

you can repeat the calculations the same way I did, but with the correct conversion factors.

Answer 28

In whatever way? Perhaps...

Answer 29

you do not have to answer the equations just give me the equations

Answer 30

I am really confused

Answer 31

1 gallon = 20 miles
1 liter = 14 km

I would use liters and kn (SI units).
1 gallon = liters 3.79
1 mile = 1.609 km

3.79 liters = = 20 times 1.609 km
1 liter = 14 km

8.49 liters = = 32.18 km
1 liter = 14 km

1 liter = 8.49 km
1 liter = 14 km

Answer 32

same thing, The conversion with wrong conversion factors was off by 0.02.
(from engineering, less than 1 percent error)

Answer 33

1 liter does equal 14 km

Answer 34

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620.

Part A: Create an equation that will determine the number of days x on the trip (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many days did Donna spend on this trip? (1 points)

Answer 35

@SolomonZelman