Chapter 8.4, Problem 21STP

To determine

To find:the best estimate for the rate of change

Answer to Problem 21STP

The correct option is C.

Explanation of Solution

Given:

  

Calculation:

Consider the table that shows relationship between time and attitude of a hot air ballon:

Time (second) [x]	Attitude (ft) [y]
1	6.3
2	14.5
3	22.7
4	30.9
5	39.1

The rate of change is change in one quality with respect to another quantity.

Mathematically:

  $Rateof\text{}\text{}\text{}\text{}change=\frac{change\text{}\text{}iny}{changeinx}$

Thus, the rate of change is change in quantity supplied with respect to change in price.

  $\text{Rate of change=}\frac{\text{14}\text{.5-6}\text{.3}}{\text{1}}$

  $\frac{8.2}{1}=8.2$

So, rate of change is increase of 8.2 feet per second.

Conclusion:

Therefore, the correct option is C.