Respuesta :
Answer:
The average rate of change is = - 4
Step-by-step explanation:
If y = f(x) is a function then the average rate of change for f(x) between the interval a ≤ x ≤ b is given by
[tex]\frac{f(b) - f(a)}{b - a}[/tex].
Now, in this case the function is given by f(x) = - 4x + 40 and the interval is 1 ≤ x ≤ 3.
Therefore, f(1) = - 4(1) + 40 = 36 and f(3) = - 4(3) + 40 = 28
So, the average rate of change is = [tex]\frac{28 - 36}{3 - 1} = - \frac{8}{2} = - 4[/tex] (Answer)
Answer:
−30
Step-by-step explanation:
−30 is the average rate of change for ƒ(x) = −4x + 40 over the interval 1 ≤ x ≤ 3.
ƒ(b) − ƒ(a)
b − a
= ƒ(3) − ƒ(1)
3 − 1
= −24 − 36
2
= −60
2
= −30
