Concept explainers
a.
Whether the given table represents a linear function or not.
Time (hours), t | Distance (miles), d |
1 | 60 |
3 | 180 |
5 | 310 |
a.
Answer to Problem 44E
Non linear function
Explanation of Solution
A linear function is a function with constant rate of change. That is as t values are increased or decreased by same amount, the d values also increases or decreases by same amount.
Here t values are all increasing by 2.
And, for
So, the d value increases by,
Also, for
So, the d value increases by,
Thus, the increase in d value is not constant.
Hence, the function represented by table is not linear.
b.
Whether the claim, “Car B is moving at faster rate than car A” correct or not.
b.
Answer to Problem 44E
Correct
Explanation of Solution
The distance d of car A from rental store after t hours is given by:
So, distance travelled by car A in 1 hour is 50 miles.
The distance of car B from rental store after t hours is given by the table:
Time (hours), t | Distance (miles), d |
1 | 60 |
3 | 180 |
5 | 310 |
From the given table the distance travelled by car B in 1 hour is 60 miles.
Hence, the claim is correct and Car B is moving at faster rate.
Chapter 3 Solutions
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