She modeled the equation y=x+3 over 2
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?
options:
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 3/2 foot.
The sunflower's starting height is 3/2 foot.
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.
1 answer
In the context of the equation \( y = \frac{3}{2}x + 3 \), the slope is \(\frac{3}{2}\). The slope represents the rate of change of the dependent variable (height of the sunflowers, \(y\)) with respect to the independent variable (time in weeks, \(x\)).
Therefore, the slope of \(\frac{3}{2}\) means that:
The sunflower's height increases by an additional \(\frac{3}{2}\) feet each week.
So the correct interpretation is:
The sunflower's height increases by an additional 3/2 foot each week.
