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 = 3x + 8
Plant B: y = 2x + 12
The plants will be exactly the same height during week
To find out how many weeks it will take for the two plants to be the same height, we need to set the two equations equal to each other:
3x + 8 = 2x + 12
Now, solve for x:
x = 4
So, during week 4, both plants will be the same height.