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

She modeled the equation y=x+32
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 starting height is 1 foot.
The sunflower's starting height is 1 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 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.

1 answer

In the equation \(y = x + 32\), the slope (which is the coefficient of \(x\)) is 1. This means that the height of the sunflower (in feet) increases by 1 foot for each additional week (the independent variable \(x\)).

Among the given responses, the interpretation that fits this context is:

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