Download Review Chapter 5

Review Chapter 5
Write the equation of the line in slope-intercept form.
1. m = 2; b = -2
2. passes through (4, -3) and slope = 6
3. Passes through (4, -9) and (-3, 2)
4. The line perpendicular to #3 and y-intercept of –3
5. m = undefined and passes through (2, 7)
6. passes through (-5, 2) and (2, 4)
7. parallel to 3y = 6x – 7 and passes through (5, 14)
8. passes through  ,5  and m = 8
9.
1
3
10.


Write an equation in point-slope form of the line that satisfies the given information.
11. passes through (-4, 4) and (2, 5)
12. passes through (-8, -2) and m = 2
Write the equations above in slope-intercept form.
13. (rewrite answer to #11 in slope-intercept form)
14. (rewrite answer to #12 in slope-intercept form)
Rewrite the equation in standard form.
15. Rewrite answer from #13
17. y 
3
1
x
4
2
16. Rewrite answer from #14
18.
1
2
y  x2
2
3
19. A salesperson for an appliance store earns a monthly pay of $1,250 plus a 4% commission on the sales. Write
an equation in slope-intercept form that gives the total monthly pay y in terms of sales x.
20. To learn more about water evaporation, you measure the depth of a puddle after a rain storm. Your first
measurement taken 3 hours after the storm, was 2.25 in. You take another measurement an hour later to
determine that the rate of evaporation of the puddle is 0.25 in. per hour.
a.
Write a linear equation that models the depth of the puddle d in inches in terms of t, the number of hours
since the storm.
b. Estimate the depth of the puddle 7 hours after the storm.
Draw a scatterplot of the data. Find an equation of the line that corresponds closely to the data and that best fits
the data.
21.
X
Y
22.
-1
-1
-3
-4
5
9
9
20
12
25
X
Y
2
10
1
5
-2
0
-4
-5
-6
-10
In exercises 23 – 27, use the following information. The table shows the number of employees in the cellular
telephone industry in the United States from 1990 through 1995.
Cellular Telephone Industry
Years since 1990
Employees
0
21,400
1
26,300
2
34,300
3
39,800
4
?
5
68,200
23. Make a scatterplot and fit a line to the data.
24. Write an equation of the line in slope-intercept form.
25. Use the linear model to estimate the number of employees in 1994. Did you use linear interpolation or linear
extrapolation?
26. Use the linear model to estimate the number of employees in 2004. Did you use linear interpolation or linear
extrapolation?
27. Use the linear model to estimate the year in which the number of employees was 0. Did you use linear
interpolation or linear extrapolation? Is this a realistic prediction? Why or why not?