Question

@elsa213 @sweetburger @will.h @glitter @awolflover @calculusxy CAN YOU GUYS HELP ME WITH THIS PROBLEM PLEASE.
The graph below plots a function f(x):

graph of line segment going through ordered pairs 0,150 and 3, 0

If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.

Answer 1

considering the following coordinates
(0,150) (3,0)
Finding the rate of change of the function in the 1st 3 seconds

use the rate of change law
rate of change = \[\frac{ y2-y1 }{ x2-x1 }\] (it is also reprent the slope if this is a linear function)
rate of change = \[\frac{ 0 - 150 }{ 3 - 0 }\]
rate of change = \[-50\]

so we just found the slope
all left is to find the y intercept
we could use
y - y1 = m(x - x1)

where m is the slope
substitute
y - 150 = -50(x - 0)
y - 150 = -50x+ 0
y = -50x + 150

Thus the graph would look like this

Answer 2

Thank you will so the awnser would be -50????

Answer 3

for the rate of change yes
but i thought you also needed to graph it.. so i made my way to get to the whole equation

Answer 4

oh i hadn't notice... there should have been a graph for you to post.. you didn't... you just needed the rate of change.. yes it would be -50

Answer 5

Thanks so much mr.will.h I hope you wouldn't mind helping me out with a few more sir??? @Will.H

Answer 6

not at all post them up in a new thread and tag me
you welcome