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

1 answer

In the equation \( y = x + \frac{3}{2} \), the slope is represented by the coefficient of the independent variable \( x \). Here, the slope is 1, which indicates that for each additional week (x) that passes, the height of the sunflower (y) increases by 1 foot.

The correct response regarding the context would be:

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