Sangeetha Pulapaka
1

a. After two weeks the first plant will be taller. It is given that the first plant is 5 cm and grows 0.5 cm per week, so at the second week, the plant grows, 5 + 0.5 + 0.5 = 6 cm. The second plant is 4 cm, and it grows 0.75 cm per week. The second week the plant grows, 4 + 0.75 + 0.75 = 5.5 cm. So at the end of two weeks the first plant is taller.

b. After ten weeks the second plant will be taller.


c. The solution to the equation w =4, means that after four weeks both the plants will be of same height. Plugging in w = 4, in the equation , 5 + 0.5 w = 4 + 0.75 w gives us

5 + 0.5 \times 4 = 4 + 0.75 \times 4

7 = 7.

This means that at week 4, both the plants will be of the same height of 7 cm.


d. The solution to the inequality represents that the height of the first plant is greater than the second plant.



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help with word problem of system of equations - Mathematics Stack ...


If you wanted to solve this in another way, you could notice that each day, plant d will gain 1 cm on plant c. Thus, the initial height difference is the ...


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