Answer:
option C
Step-by-step explanation:
The points (1, 5), (5, 10), (7, 8) and (8, 1) are on the graph of the function p
To find average rate of change of the function p on 5 ≤ x ≤ 8
we pick two points (5,10) and (8,1)
we apply slope formula
(5,10) is (x1,y1) and (8,1) is (x2,y2)
Plug in the values in the formula
option C is correct
f(x)=10
Substitute -3 in for the x in the equation: f(x)=-2(-3)+4
Multiply -2 and -3: 6
Add 6+4
10
So, f(x)=10
(5,7,8.6)
Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c