To compare: the rates of change.
Answer to Problem 25SGR
Rate of change for adult is increase of $18 per person
The rate of change for children is increase of $12.5 per person
Explanation of Solution
Given:
Number of
People x | Total Costs ($) y | |
Adults | Children | |
2 | 36 | 25 |
4 | 72 | 50 |
6 | 108 | 75 |
Calculation:
The rate of change is change in one quantity with respect to another quantity. Mathematically:
Thus, the rate of change is change in total cost with respect to change in number of people.
So, the rate of change for adult is:
And, the rate of change for children is:
It means that the cost for adults increase at faster rate than the cost for children.
Conclusion:
Therefore, Rate of change for adult is increase of $18 per person
The rate of change for children is increase of $12.5 per person
Chapter 8 Solutions
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