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

Question

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 point)
The plants will be exactly the same height during week

Answer 1

x when the heights of both plants are equal.

For Plant A:
y = 8 + 3x

For Plant B:
y = 12 + 2x

To find when the heights of both plants are equal, set the equations equal to each other:
8 + 3x = 12 + 2x

Simplify:
x = 4

Therefore, the plants will be exactly the same height during week 4.