A botanist collected data on the growth of sunflowers to maturity.

She modeled the equation y=x+3/2
for the line of best fit.

The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the slope mean in this context?

(1 point)
Responses

The sunflower's age increases by an additional 3/2 week every 1 foot.
The sunflower's age increases by an additional 3/2 week every 1 foot.

The sunflower's height increases by an additional 1 foot each week.
The sunflower's height increases by an additional 1 foot each week.

The sunflower's starting height is 3/2 foot.
The sunflower's starting height is 3/2 foot.

The sunflower's height increases by an additional 3/2 foot each week.
The sunflower's height increases by an additional 3/2 foot each week.

The sunflower's starting height is 1 foot.

1 answer

In the equation \( y = x + \frac{3}{2} \), the slope (which is 1) indicates how much the dependent variable (height in feet) changes for each unit change in the independent variable (time in weeks).

Therefore, the correct interpretation of the slope in this context is:

The sunflower's height increases by an additional 1 foot each week.