Kristen bought two sunflower plants. Plant A is 8 inches tall and is growing at a rate of 3 inches per week. Plant B is 12 inches tall and is growing at a rate of 2 inches per week. Write the two equations to represent each sunflower plant if the plants continue to grow at the same rate in your equations, X represents the number of weeks and Y represents the height of the plant in inches.
Plant A: y=□
Plant B: y=□
when will the plants be exactly the same height?
The plants will be exactly the same height during week: □
Plant A: y = 8 + 3x
Plant B: y = 12 + 2x
To find when the plants will be exactly the same height, we set the two equations equal to each other and solve for x:
8 + 3x = 12 + 2x
x = 4
Therefore, the plants will be exactly the same height during week 4.
Can you further explain how you got this answer?
Of course!
We started by setting the two equations equal to each other:
8 + 3x = 12 + 2x
We then isolated x on one side of the equation by moving the 2x from the right side to the left side:
8 + x = 12
Next, we solved for x by subtracting 8 from both sides:
x = 4
This means that after 4 weeks, both plants would have the same height.
I hope this explanation helps clarify how we arrived at the answer! Let me know if you have any other questions.