Question

5-4: mathxl for school practice & problem solving
due feb 6, 3:00 pm
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.
1 click the icon to see the information about each cars gas mileage.
7.
○ a. i can make a ratio table for car b to find equivalent ratios and then compare cars a, b, and c
○ b. i can make a ratio table for car c to find equivalent ratios and then compare cars a, b, and c
○ c. i can use the graph to approximate equivalent ratios for car b and then compare cars a, b, and c
○ d. i can make ratio tables for cars b and c to find equivalent ratios and then compare cars a, b, and c

1. solve the problem. explain why your answer makes sense.

car a gets 20 miles per gallon, car b gets 36 miles per gallon, and car c gets 60 miles per gallon. so, car c travels the farthest on 1 gallon of gas. this answer makes sense because each ratio is compared to 1 gallon of gas.
( type whole numbers )

Explanation:

Step1: Identify valid method

The goal is to compare miles per gallon for 3 cars. Creating ratio tables for each to find equivalent ratios (specifically miles per 1 gallon) allows direct comparison. Option D describes this valid approach.

Step2: Verify distance per gallon

Car A: $20$ miles/gallon, Car B: $36$ miles/gallon, Car C: $60$ miles/gallon. Compare these values: $60 > 36 > 20$. So Car C travels the farthest.

Step3: Explain ratio comparison

When comparing ratios (miles to gas), scaling each to 1 gallon (unit rate) gives a direct, fair comparison of distance per gallon.

Answer:

1. D. I can make ratio tables for Cars A, B, and C to find equivalent ratios and then compare Cars A, B, and C.
2. Car C travels the farthest on 1 gallon of gas. This answer makes sense because each ratio is compared to 1 gallon of gas, so the highest miles-per-gallon value (60 for Car C) corresponds to the farthest distance.