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 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 starting height is 3/2 foot. The sunflower's starting height is 3/2 foot.
7 answers
In the given equation y = x + 32, the slope represents the rate of change of the dependent variable (height) with respect to the independent variable (time).
So, in this context, the slope indicates that the sunflower's height increases by an additional 1 foot each week.
In the equation y = x + 32, where y represents the height of the sunflower in feet and x represents the time in weeks, the slope of 1 indicates that for every 1 week that passes, the sunflower's height increases by an additional 1 foot.
Therefore, the correct interpretation is: The sunflower's height increases by an additional 1 foot each week.