Mathematics

Can someone check my answers?

1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)

Yes y=2.75x
Yes y=0.6875x***
Yes y=1.375x
No y does not vary directly with X **

(For #1, I'm debating between B and D)

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) (16,4) (32,16) (48,36)

Yes y=2x
Yes y=4x
Yes y=8x
No y does not very directly with x***

3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
232 your care travels 232 miles
1/58 your car travels 58 miles in 1 hour***
58/1 your car travels 58 miles in 1 hour
10 your car travels for 10 hours

4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)
1/3***
-1/3
3
-3

4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
2
3***
-2
-3

5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
-27/26
-26/27
26/27***
27/26

6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3
Y+2=3(X-5)***
Y+2=3x-5
Y-2=3(X+5)
Y-2=3(X-5)

7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5
Y+5=-2/5(X+3)
Y+5=(-2/5) X-3***
Y-5=-2/5(X+3)
Y-5=-2/5(X-3)

8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54
Y+7=-0.54(x-4)
Y-7=-0.54x-4
Y+7=-0.54(X+4)
Y-7=-0.54(X-4)***

9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)
Y-16=8(X-2)***
Y-16=8x-2
Y+16=8(X+2)
The relationship is nonlinear

10. Write y=-2/3x+7 in standard form
2x+3y=21
3x-2y=22
-2x-3y=21***
-2x+3y=7

11. Write y=-1/2x+1in standard form using integers
X+2y=2
X+2y=-2***
2x+y=-2
X-2y=2

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  1. 1. (8,11). y/x = 11/8, Y = 1.375x.

    2. correct.

    3. y/x = 232/4 = 58/1.

    4. (2,5), (8,3).
    m = (3-5)/(8-2) = -2/6 = -1/3.

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  2. Final answers?

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