Question

How fast is the number of HIV infections, H, increasing by between t = 5 and t = 10? Calculate the average rate of change between t = 5 and t = 10 to answer this question.

Answer 1

Step 1

State the formula for the average rate of change under a curve.

`f(a,b)=(f(b)-f(a))/(b-a)`

where from the graph,

`\begin{gathered} b=10 \\ a=5 \\ \text{ } \end{gathered}`

Step 2

Find the average rate of change