Kristin 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 to 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: _____
Plant B: _____
Plant A: y = 8 + 3x
Plant B: y = 12 + 2x
Can show the work to get this answer
Sure!
For Plant A:
Let x be the number of weeks and y be the height of the plant in inches. Since Plant A is 8 inches tall and growing at a rate of 3 inches per week, the equation representing its growth is y = 8 + 3x.
For Plant B:
Similar to Plant A, let x be the number of weeks and y be the height of the plant in inches. Since Plant B is 12 inches tall and growing at a rate of 2 inches per week, the equation representing its growth is y = 12 + 2x.
The plants will be exactly the same height during week
I misunderstood the question earlier. If the plants are expected to be the same height after a certain number of weeks, we can set up an equation to represent this scenario.
Let's say that after x weeks, the height of Plant A (y1) will be equal to the height of Plant B (y2). We can set up the equation as follows:
For Plant A: y1 = 8 + 3x
For Plant B: y2 = 12 + 2x
Since both plants will be the same height after a certain number of weeks, we can set y1 equal to y2:
8 + 3x = 12 + 2x
Subtract 2x from both sides:
8 + x = 12
Subtract 8 from both sides:
x = 4
Therefore, the two plants will be the same height after 4 weeks.