A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y = x + 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? Responses The sunflower's height increases by an additional foot each week The sunflower's height increases by an additional 1 halffoot each week The sunflower's starting height is 1 foot. The sunflower's starting height is 1 foot. The sunflower's starting height is foot The sunflower's starting height is 1 halffoot The sunflower's height increases by an additional 1 foot each week.
The correct response is: The sunflower's height increases by an additional foot each week.
In the context of the equation y = x + b, the slope represents the rate of change of the dependent variable (in this case, the height of the sunflower) with respect to the independent variable (time in weeks). So, in this case, the slope of 1 means that the sunflower's height increases by 1 foot each week.