Concept explainers
a.
To write:
An equation describing the number of hours per month each type of plane should be rented if the flight school is to meet its goal.
a.
Answer to Problem 29E
The equation
Explanation of Solution
Given:
At a flight school, pilots in training can rent single-engine airplanes for $60 per hour and twin-engine airplanes for $180 per hour. The flight school’s goal is to take in $9000 in rental fee each month.
Calculation:
Let x represent number of hours for which single-engine airplanes were rented and y represent number of hours for which twin-engine airplanes were rented.
We have been given that pilots in training can rent single-engine airplanes for $60 per hour, so amount charged for x hours of single-engine airplanes would be 60x .
We have been given that pilots in training can rent twin-engine airplanes for $180 per hour, so amount charged for yhours of twin-engine airplanes would be 180x .
The total amount charged for renting all airplanes will be equal to $9000. We can represent this information in an equation as:
Therefore, the equation
b.
To graph:
An equation from part (a) using the intercepts.
b.
Answer to Problem 29E
x -intercept:
y -intercept:
Explanation of Solution
Given:
At a flight school, pilots in training can rent single-engine airplanes for $60 per hour and twin-engine airplanes for $180 per hour. The flight school’s goal is to take in $9000 in rental fee each month.
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:
c.
To use:
Your graph to estimate how many hours the single-engine plane must be rented if the flight school is to meet its goal.
c.
Answer to Problem 29E
The single-engine planes must be rented for 60 hoursif the flight school is to meet its goal.
Explanation of Solution
Given:
During one month, the twin-engine airplanes were rented for 30 hours.
Calculation:
Upon looking at our graph, we can see that the value of x is 60, when
Therefore, the single-engine planes must be rented for 60 hoursif the flight school is to meet its goal.
d.
To check:
Your answer to part
d.
Answer to Problem 29E
The answer to part
Explanation of Solution
Given:
During one month, the twin-engine airplanes were rented for 30 hours.
Calculation:
To solve our given problem, we will substitute
Since we got same value, therefore, the single-engine planes must be rented for 60 hoursif the flight school is to meet its goal.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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