Question

a biologist measures the height of a plant each day. the table below shows the height, y, in centimeters, after x days. plant growth the data set was modeled with the linear best - fit function. what is the meaning of the slope of the function? the number of days it takes for the plant to grow one centimeter. the average increase in the plants height per day. the total height of the plant after 4 days. the starting height of the plant.

Explanation:

In a linear function \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept), the slope \(m=\frac{\Delta y}{\Delta x}\). Here, \(x\) represents the number of days and \(y\) represents the height of the plant. \(\frac{\Delta y}{\Delta x}\) (change in height over change in days) gives the rate of change of height with respect to days.

Answer:

The average increase in the plant’s height per day.