Question

Wangari plants trees at a constant rate of 1212 trees every 33 hours. Write an equation that relates p, the number of trees Wangari plants, and h, the time she spends planting them in hours.

Answer 1

Solution:

Given:

$\begin{gathered} \text{Wangari plants tr}ees\text{ at 1212tr}ees\text{ every 33hours} \\ p=n\text{ umber of tr}ees\text{ Wangari plants} \\ h=time\text{ spent planting the tre}es\text{ in hours} \end{gathered}$

The rate given is 1212 trees every 33 hours.

$\begin{gathered} \text{rate}=\frac{n\text{ umber of tr}ees}{\text{time spent}}=\frac{1212}{33} \\ N\text{ umber of tre}es=rate\times time\text{ spent} \\ p=\frac{1212}{33}\times h \end{gathered}$

Therefore, the equation that relates the number of trees (p) and the time planting the trees (h) is;

$\begin{gathered} p=\frac{1212}{33}h \\ To\text{ the lowest term,} \\ p=\frac{404h}{11} \end{gathered}$