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.  

Answer 1

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 2

Plant A: y = 3x + 8
Plant B: y = 2x + 12

Answer 3

To find out when the plants will be exactly the same height, we can set the two equations equal to each other:

3x + 8 = 2x + 12

Subtract 2x from both sides:

x + 8 = 12

Subtract 8 from both sides:

x = 4

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