Question: What is the average rate of change of f(x) = 5x + 4 over [5, 6] ?(f x math)
A ) - 12500
B ) 3129
C ) 15629
D ) 12500
Steps to derive
1 Here f(x) = 5x + 4, x changes from a = 5 to b = 6.
2 The average rate of change of f(x) = f(b) - f(a)b - a
[Definition.]
3 = f(6) - f(5)6 - 5
4 = 15629 - 31291
[Simplify.]
5 = 12500
A ) - 12500
B ) 3129
C ) 15629
D ) 12500
Steps to derive
1 Here f(x) = 5x + 4, x changes from a = 5 to b = 6.
2 The average rate of change of f(x) = f(b) - f(a)b - a
[Definition.]
3 = f(6) - f(5)6 - 5
4 = 15629 - 31291
[Simplify.]
5 = 12500