tanvi finds that her robot vacuum can clean her 150 - square - foot kitchen in $\frac{1}{2}$ of an hour. how…

tanvi finds that her robot vacuum can clean her 150 - square - foot kitchen in $\frac{1}{2}$ of an hour. how many square feet could the robot vacuum clean in 1 hour? simplify your answer and write it as a proper fraction, mixed number, or whole number. square feet

tanvi finds that her robot vacuum can clean her 150 - square - foot kitchen in $\frac{1}{2}$ of an hour. how many square feet could the robot vacuum clean in 1 hour? simplify your answer and write it as a proper fraction, mixed number, or whole number. square feet

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the number of square - feet cleaned in 1 hour. We know that 150 square - feet are cleaned in $\frac{1}{2}$ hour. So the proportion is $\frac{150}{\frac{1}{2}}=\frac{x}{1}$.

Step2: Solve for $x$

Using cross - multiplication, we get $x = 150\div\frac{1}{2}$. Since dividing by a fraction is the same as multiplying by its reciprocal, $x=150\times2$. $x = 300$.

Answer:

300 square feet