Question

Need help with Linear Functions Unit Test
1.For the data in the table, does y vary directly with x? If it does write an equation for the direct varation.
X Y
8 11
16 22
24 33
A.yes;y=2.75x
B.yes;y=0.6875x
C.yes;y=1.375x
D.no; y does not vary directly with x

2.For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X Y
40 32
28 16
16 12
A.yes;y=2x
B.yes;y=0.5x
C.yes;y=1.5x
D.no; y does not vary directly with x

Answer 1

c d

Answer 2

5.The table shows the number of miles driven over time.
Time(hours) Distance(miles)
4 184
6 276
8 368
10 460
Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship.
A.184; your car travels 184 miles.
B.46/1; your care travels 16 miles in 1 hour.
C.1/46; your car travels 46 miles in 1 hour
D.4; your car travels 4 hours

7.What is the slope of the line that passes through the pair of points (2,5) and (8,3)
A.1/3
B.-1/3
C.3
D.-3

8.What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
A.-27/26
B.-26/27
C.26/27
D.27/26

10.Write an equation in point-slope form for the line through the given point with the given slope.
(5,2); m=3
A.y+2=3(x-5)
B.y+2=3x-5
C.y-2=3(x+5
D.y-2=3(x-5)
11.Write an equation in point-slope form for the line through the given point with the given slope.
(-10,-6); m=-5/8
A.y-6=-5/8(x-10)
B.y-6=-5/8(x+10)
C.y+6=-5/8(x+10)
D.y+6=-5/8(x+6)

12. The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant's height at any time?
Time(months) Plant height(cm)
2 18
4 36
6 54
8 72
A.y+18=9(x+2)
B.y-18=9x+2
C.y-18=9(x-2)
D.The relationship is nonlinear.

14.Write y=-2/3x+7 in standard form using integers.
A.2x+3y=21
B.3x-2y=21
C.-2x-3y=21
D.-2x+3y=7

15.Write an equation for the line that is parallel to the given line and passes through the given point.
y=3x+7; (2,10)
A.y=3x+11
B.y=3x+4
C.-3x+4
D.y=(-1/3)x+4

16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=-2x+4
-5x+10y=5
A.parallel
B.perpendicular
C.neither

17.Tell whether the lines for each pair of equations are parallel, perpendicular, or neither
y=-1/4x+10
-2x+8y=6
A.parallel
B.perpendicular
C.neither

18.Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-2=7/3(x+5); (-4,9)
A.y-9=-3/7 (x-4)
B.y-9=3/7 (x-4)
C.y-9=-3/7 (x+4)
D.y-9=3/7 (x+4)

20.Describe how the graphs y=|x| and y=|x+2| are related.
A.The graphs have the same shape. The y-intercepts of y=|x| is 0, and the y-intercept of the second graph is -2
B.The graphs have the same shape.The y-intercepts of y=|x| is 0, and the x-intercept of the second graph is 2.
C.The graphs have the same shape.The y-intercepts of y=|x| is 0, and the y-intercept of the second graph is 2.
D.The two graphs are the same.

Answer 3

@ganeshie8 he's trying to get help on a test

Answer 4

@bibby