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Wangari plants trees at a constant rate of 12 trees every 3 hours.
Write an equation that relates
p, the number of trees Wangari plants, and
h, the time she spends planting them in hours.

Wangari plants trees at a constant rate of $12$ trees every $3$ hours. $\newline$ Write an equation that relates $p$ , the number of trees Wangari plants, and $h$ , the time she spends planting them in hours.

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Write exponential functions: word problems

Full solution

Q. Wangari plants trees at a constant rate of

12

trees every

3

hours.

\newline

Write an equation that relates

p

, the number of trees Wangari plants, and

h

, the time she spends planting them in hours.

Determine Rate: Determine the rate at which Wangari plants trees. $\newline$ Wangari plants $12$ trees every $3$ hours. To find the rate per hour, we divide the number of trees by the number of hours. $\newline$ Rate = $\frac{12 \text{ trees}}{3 \text{ hours}} = 4 \text{ trees/hour}$
Write Equation: Write the equation relating the number of trees planted to the time spent planting. $\newline$ Since the rate is constant, we can write the equation as $p = \text{rate} \times h$ , where $p$ is the number of trees planted and $h$ is the time in hours. $\newline$ $p = 4 \, \text{trees/hour} \times h$
Simplify Equation: Simplify the equation. $\newline$ The equation simplifies to $p = 4h$ , since the rate is $4$ trees per hour and $h$ represents the hours spent planting.

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