A baker can prepare 2 1/2 dozen cupcakes in 1/4 hour. what is the unit rate?
2.5/0.25 = x/1
Cross multiply and solve for x.
In 1 hour he can bake 4 times as many.
So, what is 4 times 2 1/2?
To find the unit rate, which represents the number of cupcakes prepared in one hour, we need to convert the given rate of 2 1/2 dozen cupcakes in 1/4 hour to cupcakes per hour.
First, let's convert the dozen to cupcakes. We know that one dozen is equal to 12 cupcakes, so 2 1/2 dozens would be:
2 1/2 x 12 = 30 cupcakes.
Next, let's convert the time from 1/4 hour to 1 hour. Since there are 4 quarters in an hour, we can multiply the cupcake count by 4 to keep it proportionate:
30 cupcakes x 4 = 120 cupcakes.
Thus, the baker can prepare 120 cupcakes in 1 hour. Therefore, the unit rate is 120 cupcakes per hour.