Chapter 4.4, Problem 2P

(a)

To determine

To graph: the reasonable graph of the given function rule is to be sketch.

Explanation of Solution

The given function rule is,

  $W=8g+700$

Where,

• W represents the total weight of spa in pounds.
• g represents the gallons of water.

Capacity of spa $\left(c\right)$ = 250 gallon

The table is constructed between total weight and capacity of spa to find out the ordered pairs $\left(c,W\right)$ .

c	W = 8g+700	(c,W)
0	W = 8×0+700 = 700	(0, 700)
50	W = 8×50+700 = 1100	(50, 1100)
100	W = 8×100+700 = 1500	(100, 1500)
150	W = 8×150+700 = 1900	(150, 1900)
200	W = 8×200+700 = 2300	(200, 2300)
250	W = 8×250+700 = 2700	(250, 2700)

The graph is plotted between c and W as follows:

  

(b)

To determine

The weight of the empty spa is to be calculated

Explanation of Solution

The total weight of the spa that contains the gallons of water is given by the function rule as follows:

  $W=8g+700$ ………………. (1)

Where,

• W represents the total weight of spa in pounds.
• g represents the gallons of water.

Equation (1) represents the function rule.

The empty spa means there is no water in the spa.

g = 0

Plugin the value in equation (1)

  $\begin{array}{l}W=8\times 0+700\\ =700\text{lb}\end{array}$

The weight of empty spa is $700\text{lb}$ .