Question

f(a)=63.1 and the average rate of change of f over the interval from x=a to x=a+176 is 0.111. What is the value of f(a+176)?

Answer 1

f(a + 176) = 82.636

Explanation:

Mathematically;

average rate of change over the internal x = a to b

will be ;

f(b) - f(a)/(b-a)

So with respect to this question, we have;

f(a + 176)-f(a)/(a+ 176) - a

We have;

0.111 = f(a + 176) - 63.1/(176)

176(0.111) = f(a + 176) - 63.1

f(a + 176) = 176(0.111) + 63.1

f(a + 176) = 19.536 + 63.1

f(a + 176) = 82.636