A function is given. Determine the average rate of change of the function between the given values of the variable.

Question

f(t) =  9

t

 t = a,  t = a + h

*that is a fraction above (9/t)... not two different questions

Answer 1

Average Rate of Change AROC =[ f(a+h) - f(a)] / h

9/(a+h) - 9/a divided by a(a+h)

[9a - 9(a+h) ] / [a(a+h)]

[9a - 9a - 9h]/[a(a+h)]

-9h/[a(a+h)]

dividing by h

-9/ [ a(a+h)]