Complete 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? Kelly is correct; each person plants more trees than the person before them. Kelly is correct; and . Greta is correct; each person plants 4 more trees than the person before them. Greta is correct; and
Answer:
Greta is correct
Explanation:
Given the scenario :
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.
Time taken by one person to plant 4 trees = time taken by 5 people to plant 20 trees
This means that, the people (tree planters) are working at the same rate and hence , 1 person can plant 4 trees :
That is ; number of trees plants equals 4 times the number of people
x = number of people working
y = number of trees planted
y = 4x
Kelly's equation :
y = 1/4 x
Greta's equation:
y = 4x
Hence, Greta is correct
We can use Greta's equation to verify the statement above;
Number of trees planted = 20
Number of people = 5
Using : y = 4x ; y = 4(5) ; y = 20
Also, number of people = 1
Trees planted = 4
y = 4x ; y = 4(1) ; y = 4