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 1 foot.
The sunflower's starting height is 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 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.
The sunflower's age increases by an additional 3/2 week every 1 foot.
The slope in this context represents the rate at which the sunflower's height increases each week. Therefore, the correct answer is:
The sunflower's height increases by an additional 1 foot each week.
A,B,C OR D ?
Sorry for the confusion! The correct answer is:
C) The sunflower's height increases by an additional 1 foot each week.
To understand the meaning of the slope in this context, we need to look at the equation of the line of best fit, which is y = x + 32.
In this equation, x represents time in weeks and y represents height in feet. The slope of the equation is the coefficient of x, which is 1.
Therefore, the slope of the line is 1. In the context of this equation, it means that for every week that passes (increase in x by 1), the height of the sunflower (y) increases by 1 foot.
So, the correct answer is: The sunflower's height increases by an additional 1 foot each week.