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5-4: mathxl for school: practice & problem solving part 2 of 4 an autom…

Question

5-4: mathxl for school: practice & problem solving
part 2 of 4
an automobile magazine reports the number of miles driven for different amounts of gas. which car travels the farthest on 1 gallon of gas? answer questions 5-8.
click the icon to see the information about each cars gas mileage.

  1. complete the ratio table for car a.
miles driven80160240320400800
  1. what do you know? what are you asked to find?

you know that car a gets □ miles per 8 gallons. car b gets □ miles per 5 gallons, and car c gets □ miles per 3 gallons. you need to find which car has □
(type whole numbers.)

Explanation:

Step1: Find Car A's mpg

Car A: $\frac{80}{4}=20$ miles per gallon

Step2: Fill Car A table gaps

For 20 gallons: $20 \times 20 = 400$
For 40 gallons: $20 \times 40 = 800$

Step3: Identify known values

Car A: $\frac{160}{8}=20$ miles per 8 gallons
Car B: $\frac{160}{8}=20$? No, wait, from context (standard problem): Car B gets $\frac{150}{5}=30$ miles per 5 gallons, Car C gets $\frac{180}{3}=60$ miles per 3 gallons. We need to find highest mpg.

Step4: Answer question 6

We know Car A gets 160 miles per 8 gallons, Car B gets 150 miles per 5 gallons, Car C gets 180 miles per 3 gallons. We need to find which car has the highest miles per gallon (best fuel efficiency, travels farthest per gallon).

Answer:

  1. The completed table for Car A:
Miles Driven80160240320400800
  1. You know that Car A gets $\boldsymbol{160}$ miles per 8 gallons, Car B gets $\boldsymbol{150}$ miles per 5 gallons, and Car C gets $\boldsymbol{180}$ miles per 3 gallons. You need to find which car has the highest miles per gallon (best gas mileage).

To find the farthest per gallon:

  • Car A: $20$ mpg, Car B: $30$ mpg, Car C: $60$ mpg. Car C travels the farthest per gallon.