The slope of a line on a distance-time graph represents
time
distance
speed
displacement

speed

Step-by-step explanation:

In a distance-time graph:

Distance is the y-variable (dependent)

Time is the x-variable (independent)

The slope of a line is rise/run, or can also be calculated with this equation, where "m" is slope:

slope = y-variables / x-variables

slope = distance / time

If you divide distance by the time it took to get that far, you will find how fast you got there. This is called the speed.

You might also see this formula:

k = d/t

In the options, "time" and "distance" would not make sense, because those are the variables on the x-axis and y-axis.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above