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Jessica is a custodian at Oracle Arena. She waxes
20m^(2) of the floor in
(3)/(5) of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?

m^(2)

Jessica is a custodian at Oracle Arena. She waxes $20 \mathrm{~m}^{2}$ of the floor in $\frac{3}{5}$ of an hour. Jessica waxes the floor at a constant rate. $\newline$ At this rate, how many square meters can she wax per hour? $\newline$ $\mathrm{m}^{2}$

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Write a linear function: word problems

Full solution

Q. Jessica is a custodian at Oracle Arena. She waxes

20 \mathrm{~m}^{2}

of the floor in

\frac{3}{5}

of an hour. Jessica waxes the floor at a constant rate.

\newline

At this rate, how many square meters can she wax per hour?

\newline

\mathrm{m}^{2}

Calculate Rate per Hour: To find out how many square meters Jessica can wax per hour, we need to divide the total area she waxes by the fraction of the hour she spends waxing it. $\newline$ Calculation: $\frac{20m^2}{(3/5)\,\text{hour}}$
Multiply by Reciprocal: To divide by a fraction, we multiply by its reciprocal. $\newline$ Calculation: $20m^2 \times \left(\frac{5}{3}\right)$
Perform Multiplication: Now we perform the multiplication to find the rate per hour. $\newline$ Calculation: $20m^2 \times \frac{5}{3} = (20 \times 5) / 3 = \frac{100}{3}$
Simplify Fraction: Simplify the fraction to get the final answer. $\newline$ Calculation: $100 / 3 = 33 \frac{1}{3} \, m^2/\text{hour}$

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