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

Question

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

Answer 1

The slope of the line of best fit in the equation \( y = x + 32 \) indicates how much the height of the sunflower (the dependent variable \( y \)) increases for each additional week of time (the independent variable \( x \)).

In this context, the slope is 1, which means that the sunflower's height increases by an additional 1 foot each week.

Therefore, the correct response is:

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