Question

A barkers is having a sale on cupcakes. At 11am the bakery has sold 123 cupcakes. By 2pm the bakery has sold 470 cupcakes. What was the average rate of change between 11am and 2pm?

Answer 1

The average rate of change is 115 cupcakes per hour approximately

SOLUTION:

Given that, A barkers is having a sale on cupcakes.

At 11am the bakery has sold 123 cupcakes.  

By 2pm the bakery has sold 470 cupcakes.  

To find what was the average rate of change between 11am and 2pm:

$\text { average rate of change }=\frac{\text { change in quantity }}{\text { time taken to change }}$

$\begin{array}{l}{\text { average rate of change }=\frac{\text { cupcakes sold by } 2 \text { pm - cupcakes sold by } 11 \mathrm{am}}{11 \mathrm{am} \text { to } 2 \mathrm{pm}}} \\\\ {\text { Average rate of change }=\frac{470 \text { cupcakes }-123 \text { cupcakes }}{3 \text { hours }}=\frac{470-123}{3}=\frac{347}{3}=115.667}\end{array}$

Hence, the average rate of change is 115 cupcakes per hour approximately