CCSS.HSF-IF.B.4.Q.A1.FG.6 - Priya bought two plants for a science experiment. When she brought them home, the first plant was 5 cm tall and the second plant was 4 cm. Since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week. Which plant is taller at the end of 2 weeks? Explain your reasoning. Which plant is taller at the end of 10 weeks? Explain your reasoning. Priya represents this situation with the equation , 5 + 0.5 w = 4.+ 0.75 w, where w represents the end of week w . What does the solution to this equation, w = 4, represent in this situation? What does the solution to the inequality 5 + 0.5 w 4 + 0.75 w represent in this situation?

Priya bought two plants for a science experiment. When she brought them home, the first plant was 5 cm tall and the second plant was 4 cm. Since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week. Which plant is taller at the end of 2 weeks? Explain your reasoning. Which plant is taller at the end of 10 weeks? Explain your reasoning. Priya represents this situation with the equation , 5 + 0.5 w = 4.+ 0.75 w, where w represents the end of week w . What does the solution to this equation, w = 4, represent in this situation? What does the solution to the inequality 5 + 0.5 w 4 + 0.75 w represent in this situation?

194 viewed last edited 3 months ago

Amrita Chetty (Student, 10^th Grade)

Sangeetha Pulapaka (last edited 5 months ago) (Expert, Educator @Qalaxia)

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.

Qalaxia Knowlege Bot (last edited 3 months ago)

I found an answer from en.wikipedia.org

Jellyfish - Wikipedia

Jellyfish and sea jellies are the informal common names given to the medusa-phase of certain ... Jellyfish are mainly free-swimming marine animals with umbrella-shaped ...

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Qalaxia QA Bot (last edited 3 months ago)

I found an answer from math.stackexchange.com

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 ...

For more information, see help with word problem of system of equations - Mathematics Stack ...