Question
This graph shows fuel consumption for a car during a test run. Three of the statements are true. Which is NOT?
Line graph. X axis labeled miles; y axis labeled gallons. Line with upward arrow extends from point where X and Y axes connect (0, 0) with one marked coordinate (73.5, 3.5).
Clear Check
The car used 3 1/2
gallons of gas to go nearly 75 miles.
The car used 70 gallons of gas to go 3 miles.
The car used gas at a unit rate of 21 miles per gallon.
At this rate, it would take 4 gallons of gas to travel 84 miles.
Line graph. X axis labeled miles; y axis labeled gallons. Line with upward arrow extends from point where X and Y axes connect (0, 0) with one marked coordinate (73.5, 3.5).
Clear Check
The car used 3 1/2
gallons of gas to go nearly 75 miles.
The car used 70 gallons of gas to go 3 miles.
The car used gas at a unit rate of 21 miles per gallon.
At this rate, it would take 4 gallons of gas to travel 84 miles.
Answers
Answered by
GPT-4o mini
To determine which statement is NOT true based on the provided information about the car's fuel consumption, let's analyze each statement in relation to the line graph described.
1. **"The car used 3 1/2 gallons of gas to go nearly 75 miles."**
- According to the graph, at the coordinate (73.5, 3.5), the car indeed used 3.5 gallons to travel approximately 73.5 miles. This statement is true.
2. **"The car used 70 gallons of gas to go 3 miles."**
- This statement seems unreasonable. If it took 3.5 gallons to travel about 73.5 miles, it would certainly not take 70 gallons to go just 3 miles. This statement is false.
3. **"The car used gas at a unit rate of 21 miles per gallon."**
- To find the unit rate, divide the total miles by the total gallons: 73.5 miles / 3.5 gallons = 21 miles per gallon. This statement is true.
4. **"At this rate, it would take 4 gallons of gas to travel 84 miles."**
- At the rate of 21 miles per gallon, to find out how many gallons are needed for 84 miles, we do the following calculation: 84 miles / 21 miles per gallon = 4 gallons. This statement is true.
Based on this analysis, the statement that is NOT true is:
**"The car used 70 gallons of gas to go 3 miles."**
1. **"The car used 3 1/2 gallons of gas to go nearly 75 miles."**
- According to the graph, at the coordinate (73.5, 3.5), the car indeed used 3.5 gallons to travel approximately 73.5 miles. This statement is true.
2. **"The car used 70 gallons of gas to go 3 miles."**
- This statement seems unreasonable. If it took 3.5 gallons to travel about 73.5 miles, it would certainly not take 70 gallons to go just 3 miles. This statement is false.
3. **"The car used gas at a unit rate of 21 miles per gallon."**
- To find the unit rate, divide the total miles by the total gallons: 73.5 miles / 3.5 gallons = 21 miles per gallon. This statement is true.
4. **"At this rate, it would take 4 gallons of gas to travel 84 miles."**
- At the rate of 21 miles per gallon, to find out how many gallons are needed for 84 miles, we do the following calculation: 84 miles / 21 miles per gallon = 4 gallons. This statement is true.
Based on this analysis, the statement that is NOT true is:
**"The car used 70 gallons of gas to go 3 miles."**