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?

A The sunflower's height increases by an additional 3/2 foot each week.

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

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

D The sunflower's starting height is 1 foot.

E The sunflower's starting height is 3/2 foot.

The slope of the equation y = x + 32 is 1. The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In this context, the slope of 1 indicates that for every additional week (increase in x), the sunflower's height (y) increases by an additional 1 foot. Therefore, the correct answer is C) The sunflower's height increases by an additional 1 foot each week.