We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula.
Similarly, we will find the slopes using other given coordinates.
Since the rate of change for each set of points is , so the rate of change is constant.
Therefore, the given function is linear.
Answer:
Step-by-step explanation:
Given:
Now, in order to write 16 + 24 into a product of two numbers, we need to find the factors of 16 and 24.
Factors of 16 = 1, 2, 4, <u>8</u>, 16.
Factors of 24 = 1, 2, 3, 4, 6, <u>8</u>, 12, 24.
Now, common factors for 16 and 24 are 1, 2, 4 and 8.
Now, the values of should be such that there should be no common factors between them except 1. In other words,
are prime numbers.
So, in order to get prime numbers for , we should take the greatest common factor for 16 and 24 which is 8.
Therefore 40 = 16 + 24 can rewritten as:
So,