Answer:
rate of change = 4/5 = 0.8
initial value = 24
Explanation:
Part (1): getting the rate of change:
The rate of change means the change of the output with respect to the change in the input.
Since we are given that the relation is linear, therefore, the rate of change is constant at any point that belongs.
First, we will need to choose any points from the table. I will choose points : (5,28) and (15,36)
The rate of change is also known as the slope of the line and can be calculated using the following rule:
rate of change = slope of line = (y2-y1) / (x2-x1)
Substitute with the points you chose to get the rate of change as follows:
rate of change = (36-28) / (15-5) = 4/5 = 0.8
Part (2): getting the initial value:
The initial value is defined as the output when the input is zero. Therefore, it is the value of the "y" when the value of the "x" is zero.
The general form of the linear is function is:
y = mx + c
where:
m is the slope
c is the y-intercept
We have the slope = 4/5
Therefore, equation of the line now is:
y = (4/5) x + c
Now, we need to get the y-intercept. To do so, we will use any point that belongs to the function to substitute in the equation and then solve for c. I will choose point (20,40)
y = (4/5) x + c
40 = (4/5)(20) + c
c = 40-16 = 24
Therefore, the equation of the line now becomes:
y = (4/5)x + 24
Now, to get the value, we will substitute the x with zero and get the corresponding y as follows:
y = (4/5)x + 24
y = (4/5)(0) + 24
initial value of y = 24
Hope this helps :)
Answer:
how will you give brainliest if this is your first question and you just made the account?
Step-by-step explanation:
Closer to 2. If you round it, because the number after the 2 is less than 5 you round it down so it's closer to 2
Answer:
0.03296703
Step-by-step explanation: Just put this in the calculator and it will give you an answer. If youb dont have a calculator then look it up on the computer!
~Cake Queen (:
