Answer:
C.) 2
Step-by-step explanation:
<em>You must use the pythagorean theorem</em>
the distance on the x axis (or a) is 6
the distance on the y axis (or b) is 10
= 136
= 2
If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.
2 answers:
<h2>Answer</h2>
If x represents time, the average rate of change of the function f(x) in the first three seconds is -50.
<h2>Explanation</h2>The average rate of change of a linear function is the slope of the liner function. To find the slope of our linear function, we are using the slope formula:
where
is the slope of the line
are the coordinates of the first point on the line
are the coordinates of the second point
From our graph we can get the points (0, 150) and (3, 0), so ,
,
, and
. Let's replace the values in our formula to find the slope of our linear function:
Since the average of change a linear function is equal to its slope, the average rate of change of the function in the first three seconds is -50
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Answer:
use f(x)=y=mx+b
let snow = S, time = t instead of y and x
S(t)=mt+b
The rate of inches per hour represents the slope of the graph, m.
The y-variable would be the amount of snow, S.
The x-variable would be the time, t, in hours.
The function has three pieces:
i) S(t)= 2t (slope = 2)
ii) S(t) = 3t (slope = 3)
iii) S(t) = 0.75t (slope = 0.75)
For the first piece, i), t=3, so the amount of snow is 6 inches.
For the second piece, ii) t=5, so the amount of snow is 15 inches.
For the third piece, iii) t=1, so the amount of snow is 0.75 inch.
In total, it snowed 21.75 inches.
total snow
