Question

1. in lixues garden, the green pepper plants grew 5 inches in \\(\frac{3}{4}\\) month. at this rate, how many feet can they grow in one month? (let 5 inches = \\(\frac{5}{9}\\) foot) (example 3)

Explanation:

Step1: Identify growth rate formula

The growth rate \( r \) (in feet per month) is given by the growth in feet divided by the time in months. We know the growth in \(\frac{3}{4}\) month is \(\frac{5}{9}\) foot. So we use the formula \( r=\frac{\text{Growth in feet}}{\text{Time in months}} \).

Step2: Substitute values into formula

We substitute the growth (\(\frac{5}{9}\) foot) and time (\(\frac{3}{4}\) month) into the formula: \( r = \frac{\frac{5}{9}}{\frac{3}{4}} \).

Step3: Divide fractions

Dividing by a fraction is multiplying by its reciprocal: \( r=\frac{5}{9}\times\frac{4}{3}=\frac{20}{27} \).

Answer:

\(\frac{20}{27}\) foot