Christina can paint 420 square feet in 105 minutes. Which unit rate describes the scenario?

Question

4 square feet per minute
One-fourth square foot per minute
1 square foot per 4 minutes
1 square foot per One-fourth minute

Answer 1

To find the unit rate of Christina's painting speed, we need to divide the total area she can paint by the total time it takes her.

Christina paints 420 square feet in 105 minutes. The unit rate can be calculated as follows:

\[ \text{Unit rate} = \frac{\text{Total square feet}}{\text{Total minutes}} = \frac{420 \text{ square feet}}{105 \text{ minutes}} \]

Now simplifying that fraction:

\[ \frac{420 \div 105}{105 \div 105} = \frac{4}{1} = 4 \]

So, she can paint 4 square feet per minute.

Thus, the correct unit rate that describes the scenario is:

4 square feet per minute.