Joe and v are driving separate cars to Los Angeles. They begin the trip with full gas tanks. The amount of gas (in gallons) remaining in the tank of each car depends.. the number of miles driven, as shown below. Gas remaining (in gallons) 11- 10- 9- 8- 7- 6- 5- 4- Explanation 3. 2. 1. Lena's car 60 120 Joe's car Check 360 420 240 300 Miles driven 480 (a) After 360 miles driven, which car will have less gas remaining? O Joe's car O Lena's car How much less gas will it have? gallon(s) 540 (b) After how many miles will the tanks contain the same amount of gas? 0 If the number of miles driven is less than this, which car will have less gas remaining? Joe's car O Lena's car Español ? 0 As M Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Joe and Lena are driving separate cars to Los Angeles. They begin the trip with full gas tanks. The amount of gas (in gallons) remaining in the tank of each car depends on the number of miles driven, as shown below.

 
(a)After 360 miles driven, which car will have less gas remaining?
 
How much less gas will it have?
 
b)After how many miles will the tanks contain the same amount of gas?
 
If the number of miles driven is less than this, which car will have less gas remaining?
**Interpreting the Graphs of Two Functions**

**Scenario:**
Joe and Lena are driving separate cars to Los Angeles. They begin the trip with full gas tanks. The graph below shows the amount of gas (in gallons) remaining in each car's tank as a function of the number of miles driven.

**Graph Explanation:**
- The graph has two lines representing each driver's car:
  - **Lena's car** is represented by the blue line.
  - **Joe's car** is represented by the red line.
- The x-axis represents the miles driven, ranging from 0 to approximately 540 miles.
- The y-axis represents the gas remaining in gallons, ranging from 0 to 12 gallons.
- Both lines show a linear decrease as the number of miles driven increases.

**Observations:**
- Lena's car initially has more gas than Joe's car, as indicated by the blue line starting higher on the y-axis.
- Both cars consume gas at different rates, indicated by the different slopes of the lines.

**Questions:**
(a) After 360 miles driven, which car will have less gas remaining?
- Options: Joe's car or Lena's car
- How much less gas will it have? [ ] gallon(s)

(b) After how many miles will the tanks contain the same amount of gas?
- [ ] miles
- If the number of miles driven is less than this value, which car will have less gas remaining?
  - Options: Joe's car or Lena's car

Please use this information to analyze the graph and answer the questions regarding the remaining gas in each car.
Transcribed Image Text:**Interpreting the Graphs of Two Functions** **Scenario:** Joe and Lena are driving separate cars to Los Angeles. They begin the trip with full gas tanks. The graph below shows the amount of gas (in gallons) remaining in each car's tank as a function of the number of miles driven. **Graph Explanation:** - The graph has two lines representing each driver's car: - **Lena's car** is represented by the blue line. - **Joe's car** is represented by the red line. - The x-axis represents the miles driven, ranging from 0 to approximately 540 miles. - The y-axis represents the gas remaining in gallons, ranging from 0 to 12 gallons. - Both lines show a linear decrease as the number of miles driven increases. **Observations:** - Lena's car initially has more gas than Joe's car, as indicated by the blue line starting higher on the y-axis. - Both cars consume gas at different rates, indicated by the different slopes of the lines. **Questions:** (a) After 360 miles driven, which car will have less gas remaining? - Options: Joe's car or Lena's car - How much less gas will it have? [ ] gallon(s) (b) After how many miles will the tanks contain the same amount of gas? - [ ] miles - If the number of miles driven is less than this value, which car will have less gas remaining? - Options: Joe's car or Lena's car Please use this information to analyze the graph and answer the questions regarding the remaining gas in each car.
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