15 points
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