ANSWER
C) f(3) − f(1) = f(6) − f(4)
EXPLANATION
The given function is f(x)=3x
f(3)=3(3)=9
f(1)=3(1)=3
f(3)-f(1)=9-3=6
Also,
f(6)=3(6)=18
f(4)=3(4)=12
f(6)-f(4)=18-12=6
Therefore the correct choice is
C) f(3) − f(1) = f(6) − f(4)
Read as: x is to 1/4 as 32 is to 3/4
x / (1/4) = 32/(3/4)
4x = 128/3
x = (32)/3
The rate of change, or slope, is the change in y over change in x. To find the slope, pick two points. The slope will be the change in y-coordinates over the change in x-coordinates.
As an equation, this is
To find the slope for function 1, pick any two points (x,y) in the table.
Let's choose (-1, 3) and (-2, 5).
The slope is
.
Let's choose (-1, 0) and (0, 4) for the two points for function 2.
The slope is
.
You want to compare the magnitude (without negatives) of the slope when comparing the greater rate of change/slope. In other words, you take the absolute value of each slope.
The magnitude of function 1's slope is 2.
The magnitude of function 2's slope is 4.
The answer is y=-2x+3 because the slope is -2 which solves the first half and then 3 is the y intercept so y=-2x+3
Answer:
72
Step-by-step explanation:
64-(-8)=72
-8+72=64