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 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.

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 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.

Answer 1

In the equation \(y = x + 32\), the slope \(m\) is 1, which indicates that for every additional week (1 week increase in time, \(x\)), the height of the sunflower (\(y\)) increases by 1 foot. Therefore, the correct interpretation of the slope in this context is:

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

So, if we look at the options you provided, the correct one aligns with this interpretation.