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Wangari plants 12 trees every 3 hours. Write an equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours.

Verified Answer :

Answer:

\(p = 4h\)

Step-by-step explanation:

The equation of straight line is given by:

\(y=mx\)

where, m is the slope or rate of the line.

As per the statement:

Wangari plants 12 trees every 3 hours.

By definition of unit rate:

\(\text{Unit rate per hour} = \frac{12}{3} = 4\) trees.

⇒\(m = 4\)

We have to find an equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours.

then;

\(p = 4h\)

where, p represents the plant trees and the time she spends planting them in h hours

Therefore, \(p = 4h\)  an equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours.

JeanaShupp

Answer: \(p=4h\)  

Step-by-step explanation:

The equation of direct variation is given by:

\(y=kx\)

where,  x= independent variable

y= dependent variable

k is the constant of proportionality.

Let the number of trees Wangari plants is denoted by p and the time she spends planting them is denoted by h ( inhours).

here , independent variable = h

dependent variable = p

Since time ∝ Number of plants planted.

So by using direct variation equation , we get

\(p=kh\)   (1)

According to the given statement : Wangari plants 12 trees every 3 hours.

So we have

\(12=k(3)\\\\\Rightarrow k=\dfrac{12}{3}=4\)

Put value of k in (1) , we get

\(p=4h\)  

Hence, the required equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours:

\(p=4h\)  

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