C Challenge

19. Social Studies The table shows per capita revenues and expenditures for selected states for a recent year.
    1. Show the data on a scatter plot. Draw a trend line.
    2. If a state collected revenue of $3000 per capita, how much would you expect it to spend per capita?
    3. Ohio spent $5142 per capita during that year. According to your model, how much did it collect in taxes per capita?
    4. In that same year, New Jersey collected $5825 per capita in taxes and spent $5348 per capita. Does this information follow the trend? Explain.

    Per Capita Revenue and Expenditure

    State	Per Capita Revenue ($)	Per Capita Expenditure ($)
    Arizona	4144	3789
    Georgia	3904	3834
    Maryland	5109	4557
    Mississippi	5292	4871
    New Mexico	6205	5793
    Nevada	4345	3723
    New York	7081	6891
    Texas	4030	3442
    Utah	5439	4459

Standardized Test Prep

SAT/ACT

20. What is the equation of the line shown in the graph?

    

    1. y = − 2 x + 2 y equals negative 2 x plus 2
    2. y = 2 x y equals 2 x
    3. y = 2 x + 1 y equals 2 x plus 1
    4. y = 2 x + 2 y equals 2 x plus 2
21. Shauna drove 75 miles in 3 hours at a constant speed. How many miles did she drive in 2 hours?
    6. 25 miles
    7. 50 miles
    8. 75 miles
    9. 100 miles
22. Which equation does NOT represent a direct variation?
    1. y = x y equals x
    2. 2 x − y = 5 2 x minus y equals 5
    3. 2 x − y = 0 2 x minus y equals 0
    4. 2 x − 5 y = 0 2 x minus 5 y equals 0

Short Response

23. The line ( y − 1 ) = 2 3 ( x + 1 ) open y minus 1 close equals , 2 thirds , open x plus 1 close  contains point ( a , − 3 ) . open eh comma negative 3 close .  What is the value of a? Show your work.

Mixed Review

See Lesson 2-3.

Graph the following linear equations.

24. y = − 7.5 x + 11 y equals negative 7.5 x plus 11
25. − 2 9 x − 5 9 y = 10 negative , 2 ninths , x minus , 5 ninths , y equals 10
26. 5 x − 4 y = 3 5 x minus 4 y equals 3

See Lesson 2-4.

Write the equation of each line in standard form.

27. slope = 2 ; ( 2 , 6 ) slope , equals 2 semicolon open 2 comma 6 close
28. slope = − 1  ;  ( − 3 , 3 ) slope , equals negative 1 semicolon open negative 3 comma 3 close
29. slope = 0 ; ( 0 , 2 ) slope , equals 0 semicolon open 0 comma 2 close

Get Ready! To prepare for Lesson 2-6, do Exercises 30–32.

See Lesson 2-3.

Graph each pair of functions on the same coordinate plane.

30. y = − x ; y = x y equals negative x semicolon y equals x
31. y = x + 1 ; y = 2 x − 1 y equals x plus 1 semicolon y equals 2 , x minus , 1
32. y = − 1 4 x ; y = − 1 4 x + 2 y equals negative , 1 fourth , x semicolon y equals negative , 1 fourth , x plus 2

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