Concept explainers
a.
To find:
The intercepts of theequation’s graph. Then graph the equation.
a.
Answer to Problem 20E
x -intercept:
y -intercept:
Explanation of Solution
Given:
At the start of a trip, you fill up your car’s fuel tank with gas. After you drive x hours, the amount y (in gallons) of gas remaining is given by the equation
Calculation:
To find x -intercept, we will substitute
Therefore, the x -intercept of our given equation is
To find y- intercept, we will substitute
Therefore, the y -intercept of our given equation is
Upon graphing our given equation, we will get our required graph as shown below:
b.
To interpret
What real-life quantitiesdo the x - and y -interceptsrepresent in this situation.
b.
Answer to Problem 20E
The x -intercept of our given equation tell us that the tank of car will be empty after driving for 9 hours.
The y -intercept of our given equation tell us that at the start of the journey there were 18 gallons of fuel available in the tank.
Explanation of Solution
Given:
At the start of a trip, you fill up your car’s fuel tank with gas. After you drive x hours, the amount y (in gallons) of gas remaining is given by the equation
Calculation:
The x -intercept of our given equation tell us that the tank of car will be empty after driving for 9 hours. After driving for 9 hours the tank of the car will be empty.
The y -intercept of our given equation tell us that at the start of the journey there were 18 gallons of fuel available in the tank.
c.
After how many hours of driving do you have only
c.
Answer to Problem 20E
After 6.75 hours of driving wewill have only
Explanation of Solution
Given:
At the start of a trip, you fill up your car’s fuel tank with gas. After you drive x hours, the amount y (in gallons) of gas remaining is given by the equation
Calculation:
To find the number of hours it will take the gas to be left
Therefore, after 6.75 hours of driving we will have only
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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