Answer:
Step-by-step explanation:
A) the slope values you have put in your problem statement are correct. As you know, they are computed from ...
(change in gallons)/(change in time)
where the reference point for changes is P. Using the first listed point Q as an example, the secant slope is ...
(3410 -1275)/(5 -15) = 2135/-10 = -213.5 . . . . gallons per minute
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B) The average of the secant slopes for points Q adjacent to P is ...
(-187 +(-145))/2 = -332/2 = -166 . . . . gallons per minute
The tangent slope at point P is estimated at -166 gpm.
x is time and y is pencils that you have
'starts with 90' so at x=0, plot y=90
'gives away 15 every hour' so for every 1 hour, move 15 down on y
so at x=1, do 90-15=75 pencils
at x=2, do 75-15=60 pencils
etc
until you get to
x=6, do 15-15=0 pencils then stop because you can't give away 15 pencils when you have 0
see attachment for plot
I don't know how your segment tool works so you do it
if it draws a line, you only need 2 points, just do when x=0, y=90 and when x=6, y=0
