Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an automobile study reports the number of miles driven for different am…

Question

an automobile study 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.5. complete the ratio table for car a.| miles driven | gallons of gas || ---- | ---- || 60 | 4 || 120 | 8 || 180 | 12 || 240 | 16 || 300 | 20 || 600 | 40 |6. 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

Calculate miles per gallon for Car A using any row: $\frac{60}{4} = 15$

Step2: Find Car B's mpg

Calculate miles per gallon for Car B: $\frac{120}{8} = 15$

Step3: Find Car C's mpg

Calculate miles per gallon for Car C: $\frac{180}{12} = 15$

Step4: Compare all cars' mpg

All three cars have 15 mpg, so they travel the same distance per gallon.

Step5: Fill Car A's table values

For 12 gallons: $15 \times 12 = 180$
For 240 miles: $\frac{240}{15} = 16$
For 20 gallons: $15 \times 20 = 300$
For 600 miles: $\frac{600}{15} = 40$

Step6: Answer Q6 known/unknown

Known: MPG rates for all 3 cars.
Unknown: Which car travels farthest per gallon.

Answer:

Completed Car A Ratio Table:

Miles DrivenGallons of Gas
1208
18012
24016
30020
60040

Question 6:

Known: Car A gets 120 miles per 8 gallons, Car B gets 180 miles per 12 gallons, Car C gets 240 miles per 16 gallons.
Asked to find: Which car travels the farthest on 1 gallon of gas.

Final Comparison Answer:

All three cars travel the same distance (15 miles) on 1 gallon of gas.