SOLUTION: A speed versus time graph is shown below. What is the average rate of change in the speed from 8 seconds to 10 seconds? Please let me know the steps you took to arrive at your answ

Algebra ->  Functions -> SOLUTION: A speed versus time graph is shown below. What is the average rate of change in the speed from 8 seconds to 10 seconds? Please let me know the steps you took to arrive at your answ      Log On


   

Question 1203954: A speed versus time graph is shown below. What is the average rate of change in the speed from 8 seconds to 10 seconds? Please let me know the steps you took to arrive at your answer.
Graph link: https://gyazo.com/0c25dcc85dd8dd5590ea989e1ea608b3
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The speed changes from 2 to 5 in 2 seconds.
(5-2)/2 = 1.5 m/sec/sec

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Speed is an example of a rate of change. You may be familiar with the formula
speed+=+distance%2Ftime+
on your graph, you have points (8+ ,2+ ) and (10+ ,5+ )
A line through two specific points on a graph is called a secant line.
In general, the average speed from time a+ to time b+ is the slope of the secant line through the distance graph at t+=+a++ and t+=+b+ .
the slope of the secant line is:
s=%285-2%29m%2F%2810-8%29s=%283%2F2%29%28m%2Fs%29=1.5%28m%2Fs%29+
the average speed from time 8+ to time 10+ is s=1.5%28m%2Fs%29+