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 :)
arc length, s=(radius, r)(angle in radians, q)
q=tan^-1(s/r)
SO that saying the answer is 1.4 radians and the equation is probs q=7/5=1.4
Answer:
1.9x+3.7
Explanation:
3.6x + (-1.7x)= 1.9x
5.9 - 2.2= 3.7
Answer:
<u>$4800</u>
Step-by-step explanation:
The expected net income is the probability when rains multiplied by net income (profit) summed with the probability of not raining with that days net income multiplied.
First, Chance of rain = 12% = 12/100 = 0.12
Profit/Loss = Income - Cost
Income is 5000
Cost = 9000
So,
Loss = 5000 - 9000 = 4000
Or, Net Income (profit) = - 4000
Now, Change of not raining = 100 - 12 = 88% = 88/100 = 0.88
Profit = Income - Cost
Income = 15,000
Cost = 9000
Net Income (profit) = 15000 - 9000 = 6000
So, we can write the expected net income as:
<u>Expected NI </u>= (0.12)(-4000) + (0.88)(6000) = <u>$4800</u>
