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. (1 point)
Plant A: y=

=


Plant B: y=

=


Question 2
When will the plants be exactly the same height?

This question requires you to show your work.

1 answer

To find when the two plants will be the same height, we can set the two equations equal to each other and solve for x:

For Plant A:
y = 8 + 3x

For Plant B:
y = 12 + 2x

Setting the two equations equal to each other:
8 + 3x = 12 + 2x

Solving for x:
3x - 2x = 12 - 8
x = 4

Therefore, the two plants will be exactly the same height after 4 weeks.