BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 2P

(a)

To determine

To graph: The scatter plot of the data.

Expert Solution

Explanation of Solution

Graph:

Consider the High temperature as the x coordinates and number of cans sold as the y coordinates.

The scatter plots of the given data are shown below in Figure 1.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 2P , additional homework tip  1

From Figure 1, all the points are plotted on the graph. No two points coincide each other.

(b)

To determine

To find: The linear function that represents the given data and draw the graph for it.

Expert Solution

Answer to Problem 2P

The linear function that represents the given data is y=16.42x621.8 .

Explanation of Solution

Using the online calculator, the regression line for the given data obtained is y=16.42x621.8 , where y is the temperature and x is the number of cans sold.

The above regression line is in the form of linear equation.

Therefore, the linear function that represents the given data is y=16.42x621.8 .

The graph that represents the equation y=16.42x621.8 is shown below in Figure 2.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1, Problem 2P , additional homework tip  2

From Figure 2, the graph for the linear equation y=16.42x621.8 is a straight line.

(c)

To determine

To find: The number of soft drink sold if the temperature is 95°F .

Expert Solution

Answer to Problem 2P

The number of soft drink sold if the temperature is 95°F is 938.

Explanation of Solution

Consider the temperature is 95°F .

From part (b), it is obtained that the linear equation that represents the given data is y=16.42x621.8 .

Substitute x = 95 in the above equation to compute the number of cans sold.

y=16.42(95)621.8=1559.9621.8=938.1

Thus, the number of soft drink sold if the temperature is 95°F is 938.

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