Question

The distance you travel varies directly with the amount of gas you use. You can travel 300 miles on 12 gallons of gas.

Answer 1

Question:

a. You want to know how much gas it will take to for your entire road trip that is 750 miles. Write a proportion to solve this equation.
b. How many gallons will it take?
c. If gas is $3.75 a gallon, how much will it cost in gas to go on your road trip?
d. What is the cost per mile?

Answer 2

Hint: Start with the ratio\[\frac{ 300~miles }{ 12~gallons }\]

Answer 3

I divide that right? @mathmale

Answer 4

Leave it in that form and set up an equivalent ratio

Answer 5

I don't understand, What do you mean?

Answer 6

You know youre going to travel 750 miles but you dont know how much gas you need right

Answer 7

oh okay okay

Answer 8

You know you can travel 300 miles on 12 gallonsof gas which when put in a ratio is 300/12. How would you put 750 and x in a ratio

Answer 9

750 miles/X gallons of gas

Answer 10

Now you need a proportion.

Answer 11

okay

Answer 12

300 miles/12 gallons of gas =750 miles/ X gallons of gas

Answer 13

Do you know how to cross multiply?

Answer 14

yes

Answer 15

Why don't you go ahead and do that

Answer 16

I'm confused at this point what am I cross multiplying?

Answer 17

You have the fraction 300/12 = 750/X

Answer 18

Do you understand?

Answer 19

750*12 = 300*X

Answer 20

30?

Answer 21

Yes, very good

Answer 22

What does that 30 represent?

Answer 23

gallons?

Answer 24

Yeah, you need 30 gallons of gas to make a 750 mile road trip. Now it wants you to calculate the price of 30 gallons of gas.

Answer 25

Can you do the rest by yourself?

Answer 26

um yeah just can you help me on D? that's all I need help on then I'll give you a medal is that fine?

Answer 27

ok give me a sec, my browser is acting up

Answer 28

So its asking you how much it costs for each mile. How do you think you could figure that out?

Answer 29

Your total cost is 30 * 3.75 right?

Answer 30

112.5?

Answer 31

Yes thats how much the entire trip cost. 750 miles cost you 112.50. How much would one mile cost?

Answer 32

I divide now?

Answer 33

Think about it, if you divided the total cost by the total number of miles what would that give you

Answer 34

It would give you the cost for one mile

Answer 35

Did you divide them?

Answer 36

112.50 Total cost/750 miles = cost/1 mile

Answer 37

What did you get Barrera?

Answer 38

a lot of 6's lol

Answer 39

so no dividing and not multiplying right?

Answer 40

You divided 112.50 by 750?

Answer 41

0.15? I divided wrong oops

Answer 42

Yeah, it cost 15 cents a mile

Answer 43

oh okay thanks for the help

Answer 44

no problem