Question

Please help me explain too il mark brainliest

Answer 1

Answer:

Linear Function

Step-by-step explanation:

If a function is linear then its slope is the same throughout the entire function

Slope of a linear function y = mx + c where m is the slope

The slope between any two points (x1, y1) and (x2, y2) is given by the ratio of the difference in y values to the difference in x values. This is referred to as rise/run

So slope = (y2-y1)/(x2-x1) for these two points

For the given table, we will let age correspond to the x values and height to the y values

Let's find the slope between all pairs of values

We can see that the difference in height between ages 3 and 5 is 6 (18-120 so the slope between these two points is (18-12)/(5-3) = 6/2 = 3

In a similar manner we can compute the slope between any two consecutive points

Between age = 5 and age = 6, height difference = 22-18=4 and slope is 4/1 = 4

Between age = 6 and age = 8, height difference = 30-22 = 8 and slope is 8/2 = 4

Between age = 8 and age = 11, height difference = 44-30 = 14 and slope is 14/3 = 4.6

While not exactly the same, the slope is almost the same for consecutive points

Therefore linear function (approximately)

 

The attached graph shows that the function plotted as a result of the table values shows an approximately linear relationship between age and height of tree

Note that I am only considering the values in the table for this and approximating. In reality there are many factors that affect the height of a tree