Chapter SH, Problem 2.11EP

a.

To determine

To find: the table average rate of change in the weight of puppy between weeks 1 and weeks 3.

Answer to Problem 2.11EP

  $1.1\text{lb per week}$ .

Explanation of Solution

Given:

The table shows the the weights in pounds of the chihuahua for the first four weeks after its birth

Time (wk)	Weight (lb)
0	$2.0$
1	$2.5$
2	$3.25$
3	$4.7$
4	$5.6$

Calculation:

Consider the table given in the text book. It shows the weight in pounds of a Chihuahua for the first four weeks after its birth.

Use the ordered pairs $\left(1,2.5\right)$ and $\left(3,4.7\right)$ to compute the average rate of change in the weight of the puppy between weeks 1 and 3.

  $\begin{array}{l}\text{Rate in change}=\frac{\text{change in }y}{\text{change in }x}\\ =\frac{4.7-2.5}{3-1}\\ =\frac{2.2}{2}=1.1\end{array}$

Therefore, average rate of change in the weight of the puppy is equal to $1.1\text{lb per week}$ between weeks 1 and 3.

b.

To determine

To find: the table average rate of change in the weight of puppy between weeks 0 and weeks 4.

Answer to Problem 2.11EP

  $0.9\text{lb per week}$ .

Explanation of Solution

Given:

The table shows the the weights in pounds of the chihuahua for the first four weeks after its birth

Time (wk)	Weight (lb)
0	$2.0$
1	$2.5$
2	$3.25$
3	$4.7$
4	$5.6$

Calculation:

Use the ordered pairs $\left(0,2.0\right)$ and $\left(4,5.6\right)$ to compute the average rate of change in the weight of the puppy between weeks 1 and 3.

  $\begin{array}{l}\text{Rate in change}=\frac{\text{change in }y}{\text{change in }x}\\ =\frac{5.6-2.0}{4-0}\\ =\frac{3.6}{4}=0.9\end{array}$

Therefore, average rate of change in the weight of the puppy is equal to $0.9\text{lb per week}$ between weeks 0 and 4.