Need help on the blanks. Pretty lost atm

Step-by-step explanation:

A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.

The average velocity on the interval [a,b] will be ...

  v avg = (y(b) - y(a))/(b-a)

Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...

  v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t

This can be computed for each of the t-values given. The results are shown in the attached table.

__

We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.

The estimated instantaneous velocity is -108 ft/s.

_____

We can simplify the average velocity equation to ...

  v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t

  = (48t -26(t^2 +6t))/t

  = 48 -26t -156

  v avg = -108 -26t

Then the average velocity at t=0 is -108.

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

hi there

the slope is 1/3.

this is because from the y-intercept, you go up one, and you go to the right three, to get to the next exact point on the graph. this is known at the “rise over run.”

p.s. (if you need it).your y-intercept is -2, because that is the point on the graph where the line crosses the y-axis.

hope that : )