Final answer:
To find how many cupcakes Matt can decorate, divide the total time he has by the time it takes to decorate one cupcake. Matt can decorate 6 cupcakes.
Step-by-step explanation:
To find how many cupcakes Matt can decorate, we need to divide the total time he has by the time it takes to decorate one cupcake.
First, we convert the time Matt has from an hour to minutes by multiplying by 60: 3/4 * 60 = 45 minutes.
Next, we divide the total time Matt has by the time it takes to decorate one cupcake: 45 minutes ÷ 1/8 of an hour = 45 minutes ÷ 7.5 minutes = 6 cupcakes.
Therefore, Matt can decorate 6 cupcakes.