Question

to water a lawn adequately, it takes 584 gal of water for every 1000 sq ft. what is the rate in gallons per square foot?
the rate is \\(\square \frac{\text{gal}}{\text{sq ft}}\\)
(simplify your answer.)

Explanation:

Step1: Identify the rate formula

The rate in gallons per square foot is calculated by dividing the number of gallons by the number of square feet. So we use the formula \( \text{Rate} = \frac{\text{Gallons}}{\text{Square Feet}} \).

Step2: Substitute the given values

We know that the number of gallons is 584 and the number of square feet is 1000. Substituting these values into the formula, we get \( \text{Rate} = \frac{584}{1000} \).

Step3: Simplify the fraction

Simplifying \( \frac{584}{1000} \), we divide both the numerator and the denominator by their greatest common divisor, which is 8. \( \frac{584\div8}{1000\div8}=\frac{73}{125} = 0.584 \).

Answer:

\( 0.584 \) (or \( \frac{73}{125} \))