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?

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

Greta is correct

Step-by-step 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

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the answer is c just got it on ed

step-by-step explanation: