5
QuizMultiple Choice

Tables, Graphs, and Equations — Quiz

Question 5 • Mathematics 8

Kelly and Greta are asked to write an equation for the given 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.” The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation y is equal to 1 fourth x , and Greta wrote the equation y is equal to 4 x Which person is correct, and why?

Answer
A
Kelly is correct; 1 is equal to 1 fourth times 4 and 5 is equal to 1 fourth times 20 .
B
Greta is correct; each person plants 4 more trees than the person before them.
C
Greta is correct; 4 is equal to 4 times 1 and 20 is equal to 4 times 5 .
D
Kelly is correct; each person plants 1 fourth more trees than the person before them.

Explanation

The equation relates the number of people, x, to the number of trees, y. With 1 person, 4 trees are planted, and with 5 people, 20 trees are planted; both situations fit y = 4x because 4 = 4 × 1 and 20 = 4 × 5. Therefore, Greta is correct: the rate is 4 trees per person.

AI-written and checked against the verified answer.

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