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)

Answer 1

To represent the height of each sunflower plant as a function of time (in weeks), we can create two equations.

For Plant A:
- Initial height: 8 inches
- Growth rate: 3 inches per week

The equation for Plant A can be written as:
\[
y = 3x + 8
\]

For Plant B:
- Initial height: 12 inches
- Growth rate: 2 inches per week

The equation for Plant B can be written as:
\[
y = 2x + 12
\]

So the two equations are:
1. \( y = 3x + 8 \) (for Plant A)
2. \( y = 2x + 12 \) (for Plant B)