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

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

Plant A: y = ____

Plant B: y = _____

When will the plants be exactly the same height?

Answer 1

Plant A: y = 8 + 3x

Plant B: y = 12 + 2x

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

8 + 3x = 12 + 2x

Subtract 2x from both sides:

8 + x = 12

Subtract 8 from both sides:

x = 4

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