Chapter 5.9, Problem 6AYU

(a)

To determine

To find: The scatter diagram treating time as independent variable and the number of cigarette as the dependent variable.

Answer to Problem 6AYU

The given graph is shown in Figure 1

Explanation of Solution

Given:

The given table is shown in table 1

Table 1

Price of Computer	Quantity Demanded
2300	180
2000	173
1700	160
1500	150
1300	137
1200	130
1000	113

Calculation:

Consider the time as independent variable.

The scatter plot for the functions in table 1 is shown in Figure 1

  

Figure 1

(b)

To determine

To find: The logarithm model from the given data.

Answer to Problem 6AYU

The logarithm function is $-11850.72+2688.5\ln x$ .

Explanation of Solution

From the graph shown in Figure 1, the logarithm function with the help of the graphing utility is,

  $y=-11850.72+2688.5\ln x$

(c)

To determine

To find: The plot of the logarithm function.

Answer to Problem 6AYU

The required plot is shown in Figure 2

Explanation of Solution

Given:

The logarithm function is $-11850.72+2688.5\ln x$ .

Calculation:

Consider the logarithm function is $-11850.72+2688.5\ln x$

Then, the plot for the function is shown in Figure 2

  

Figure 2

(d)

To determine

To find: The number of personal computers demanded at price $1650.

Answer to Problem 6AYU

The number of computers demanded is $152$ .

Explanation of Solution

Given:

The logarithm function is $-11850.72+2688.5\ln x$ .

Calculation:

Consider the given logarithm function is,

  $-11850.72+2688.5\ln x$

Then the computers demanded at the price is,

  $\begin{array}{l}1650=-11850.72+2688.5\ln x\\ x=152\end{array}$