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.

Answer 1

converting units is a tricky thing to grasp but it is easy. Just like you can cancel out the same number above and below a fraction line, we will do the same for units.

Answer 2

multiplying a number by what is called a conversion factor is what changes the units. This is essentially multiplying by 1. for instance, if we multiply 3 inches by 2.54 cm/1in that is like multiplying by one because 2.54 cm is equal to 1in

Answer 3

Let me know if you're following along...

Answer 4

yes I am.

Answer 5

In ur chem class you were probably shown to set up unit conversions using fractions and the multiplication sign. I'm chemical engineering and we use a form of brackets which is the same thing. vertical line is the multiplication symbol and the horizontal line is the fraction bar. I will convert mi/gal to km/L if you go the other way...

Answer 6

Start with the initial value and choose one unit to start with. convert miles or gallons to the desired unit first befor doing the other. If you do both at one you can make a mistake. Do you see how the units cancel out?

Answer 7

yes and I just really need help on the question. could you give me the answer please?

Answer 8

Makes me sad that you came to a tutorial site to take the easy way out and just get answers. I will not provide answers. Ever heard of give somebody a fish and they eat for a day, but teach them to fish and the eat for a lifetime...

Answer 9

@chmE I'm so sorry. It came out wrong its just that this is due tomorrow and im very tired.

Answer 10

Look at my work and do the math. That will give you a comparable answer for part a. Vertical line is mutiplication horizontal ine is division. start left to right

Answer 11

this is my last question for the day

Answer 12

I understand. It took you longer to type that than to use a calculator to get an answer. Apply yourself

Answer 13

I really do appreciate you taking the time to help out a stranger. :D

Answer 14

Part B) When you think about miles per gallon, that is for every gallon the car will go so many miles. So the miles the car will go is dependent on the gallons of gas in the car. The dependent variable (called y usually) is on the y-axis

Answer 15

Okay. I'm writing this all down! :]

Answer 16

Now the graph should be simple. we can come up with an equation. y is the miles and x is gallons.

y = 33.1625 x ; so by now you know company B is better. That 33.1625 is 14 km/L in mi/gal. This equation says at 0 gallons the car will go 0 miles, at 1 for x you get 33.1625 for y. choose your y-axis values so appropriately so your graph isnt huge. I'd go up by 30 probably

Answer 17

Makes me feel better if I know you took something away from this. Let me know honestly if something doesnt make sense or if this seemed to make it more clear. We need more engineers in this country

Answer 18

wait. so what would the compete answer be? @ChmE

Answer 19

for what part

Answer 20

for the entire problem.

Answer 21

@ChmE

Answer 22

Part a) copy my work and calculate an answer. compare that to company b and if it's smaller (it is) state that B is better because it has higher gas mileage

Answer 23

Part B) would be a graph with my explanation I typed out included

Answer 24

so what would I write down for my answer?

Answer 25

I laid it out pretty clearly. Read my last two posts and follow directions.