Answer:
[tex]p = 4h[/tex]
Step-by-step explanation:
The equation of straight line is given by:
[tex]y=mx[/tex]
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:
[tex]\text{Unit rate per hour} = \frac{12}{3} = 4[/tex] trees.
⇒[tex]m = 4[/tex]
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;
[tex]p = 4h[/tex]
where, p represents the plant trees and the time she spends planting them in h hours
Therefore, [tex]p = 4h[/tex] an equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours.
Answer: [tex]p=4h[/tex]
Step-by-step explanation:
The equation of direct variation is given by:
[tex]y=kx[/tex]
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
[tex]p=kh[/tex] (1)
According to the given statement : Wangari plants 12 trees every 3 hours.
So we have
[tex]12=k(3)\\\\\Rightarrow k=\dfrac{12}{3}=4[/tex]
Put value of k in (1) , we get
[tex]p=4h[/tex]
Hence, the required equation that relates the number of trees Wangari plants (p) and the time she spends planting them (h) in hours:
[tex]p=4h[/tex]
