Concept explainers
a.
To calculate: The complete table that shows the altitude of the balloon every 5 minutes.
a.
Answer to Problem 42PPS
The altitude of balloon every 5 minutes is tabulated below,
Explanation of Solution
Given information:
The table,
Formula used:
Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs
Calculation:
Consider the given table,
Recall that Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs
So, apply it to calculate the values in table as,
When
When
When
The complete table is,
Thus, the altitude of balloon every 5 minutes is tabulated below,
b.
To describe: What the input value of 0 represents.
b.
Answer to Problem 42PPS
The input value of 0 represents that the balloon did not fly yet and is still at its starting point.
Explanation of Solution
Given information:
A hot air balloon is at an altitude of
The altitude of balloon every 5 minutes is tabulated in the table as,
From the table, it is observed that input value 0 gives output as
And it is given that the hot air balloon is at an altitude of
So, input value of 0 represents that the balloon has not started flying yet and is still at starting point. It will start descending at the rate of 15 feet per minute.
c.
To graph: The order pairs of the following table,
c.
Explanation of Solution
Given information:
The table,
Graph:
The altitude of balloon every 5 minutes is tabulated in the table as,
From the table it is observed that the ordered pairs so formed are
Plot the ordered pairs on the graph as,
Interpretation:
From the graph it is observed that as the time increases, the altitude of balloon decreases at the constant rate of 15 feet per minute.
d.
To calculate: The time taken by balloon to reach the ground.
d.
Answer to Problem 42PPS
The time taken by balloon to reach the ground is
Explanation of Solution
Given information:
A hot air balloon is at an altitude of
The expression that shows that altitude of the balloon every 5 minutes
Formula used:
Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs
Calculation:
Consider the given information A hot air balloon is at an altitude of
The expression
The time taken by balloon to reach ground will be calculated when
Recall that Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs
So, apply it to calculate the time taken by balloon to reach ground as,
Thus, the time taken by balloon to reach ground is
Chapter 2 Solutions
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