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)

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 the week what? show work for question 2

Answer 1

Plant A:

y = 8 + 3x

Plant B:

y = 12 + 2x

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

8 + 3x = 12 + 2x

Subtract 2x from both sides:

x = 4

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