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?
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 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 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 correct answer is: The sunflower's height increases by an additional 1 foot each week.
The correct answer is: The sunflower's height increases by an additional 1 foot each week.
The slope of the equation y = x + 32 represents the rate of change in the sunflower's height with respect to time. In this context, the slope tells us how much the sunflower's height increases for each increase in time (in weeks).
The given equation has a slope of 1, which means that for every additional week that passes, the sunflower's height increases by 1 foot. So, the correct interpretation is:
The sunflower's height increases by an additional 1 foot each week.