Question

Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees." The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation y = one-fourth x, and Greta wrote the equation y = 4 x. Which person is correct, and why?

Answer 1

Answer:

D

Step-by-step explanation:

sub to my yt clizey

Answer 2

Answer:

Greta is correct. The answer is y = 4x

Step-by-step explanation:

This is because one person is able to plant four trees and five people are able to plant 20 in the same amount of time which means 4 trees is to 1 person. In other words if you substitute the values into the equation you will see that x = 1 in the first scenario and x = 5 in second scenario.I will work out the second scenario below.

y = 4x (where y = 20)

20  = 4(x)

$\frac{20}{4} = \frac{4x}{4}$

5 = x

OR

y = 4x (where x = 5)

y = 4 * 5

y = 20