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Chapter 12: Q.35 (page 717)

How many hours will it take to mow all of the lawns? (When is 欧 = 0?)

Short Answer

Expert verified

The number of hours taken to mow all the lawns is 1.125

Step by step solution

01

Step 1  Given Information

Given that the total area of the properties combined is 1,345 acres.

We have to find the hours that will take to mow all of the lawns

02

Explanation

Consider the given equation as given below:

y^=1350-1.2x

When all lawns are mowed, it means that no number of acres is left to mow, that is y^=0. Then, the number of hours taken to mow all the lawns is:

0=1350-1.2x

That is 1.2x=1350

x=13501.2

x=1.125

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Most popular questions from this chapter

The maximum discount value of the Entertainment庐 card for the 鈥淔ine Dining鈥� section, Edition ten, for various pages is given in Table 12.21.

a. Decide which variable should be the independent variable and which should be the dependent variable.

b. Draw a scatter plot of the ordered pairs.

c. Calculate the least squares line. Put the equation in the form of: \(\hat{y}=a+bx\)

Solve.

a. Whenx=1985,欧=_____

b. When x=1990,欧=_____

c. When x=1970,欧=______ Why doesn鈥檛 this answer make sense

75. The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days:

Swim Time
Heart Rate
34.12
144
35.72
152
34.72
124
34.05
140
34.13
152
35.73
146
36.17
128
35.57
136
35.37
144
35.57
148

a. Enter the data into your calculator and make a scatter plot.
b. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.
c. Explain in words what the slope and y-intercept of the regression line tell us.
d. How well does the regression line fit the data? Explain your response.
e. Which point has the largest residual? Explain what the residual means in context. Is this point an outlier? An influential point? Explain.

64. What is the process through which we can calculate a line that goes through a scatter plot with a linear pattern?

Emma鈥檚 Extreme Sports hires hang-gliding instructors and pays them a fee of \(50per class as well as \)20per student in the class. The total cost Emma pays depends on the number of students in a class. Find the equation that expresses the total cost in terms of the number of students in a class.
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