The average rate of change (m) is the ratio of the change in function value to the width of the interval:
m = (f(6) - f(2))/(6 - 2)
To compute this, we need to compute f(6) and f(2).
f(6) = (0.25*6 -0.5)*6 +3.5 = 9.5
f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
m = (9.5 - 3.5)/(6 - 2) = 6/4 = 1.5
The average rate of change is 1.5 thousand owners per year.
<h2>Complete Question: </h2>
The energy usage of a light bulb is a function. The input for the function is ___, measured in hours. The output of the function is energy usage, measured in _____. Identify the functional relationship between the variables. ________ is a function of __________. The graph of the function will show energy usage on the ________ axis and time on the _______ axis.
- Input is <u>time</u>.
- Output is measured in <u>kilowatts</u>.
- <u>Energy usage</u> measured in kilowatts is a function of <u>time</u> measured in hours.
The graph representing the function will show:
- energy usage (kilowatts) on the <u>y-axis</u>
- time (hours) on the <u>x-axis.</u>
A light bulb as a function expends energy which is measured in kilowatts and it is dependent on time measured in hours.
This implies that, the amount of energy usage of the light bulb is determined by the number of hours the light bulb is turned on.
Thus, energy usage of the light bulb (kilowatts) is a function of time (hours).
Graphing the function, we would plot<em><u> the input (time) on the x-axis, against (output) energy usage on the y-axis.</u></em>
<em>Therefore</em>,
Input = time (hours) - plotted on the x-axis.
Output = energy usage (kilowatts) - plotted on the y-axis.
Learn more about functions here:
brainly.com/question/18738793
Answer:
(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.
(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.
Step-by-step explanation:
<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.
(a) What is the probability that during the next hour less than 3 patients will be admitted?
(b) What is the probability that during the next two hours exactly 8 patients will be admitted?
The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

Here X = Number of patients admitted in the hospital
= arrival rate of patients per hour = 9 patients
So, X ~ Poisson(
= 9)
(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.00623</u>
(b) Here,
= 18 because we have to find the probability for the next two hours and we are given in the question of per hour.
So, X ~ Poisson(
= 18)
Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)
P(X = 8) =
= <u>0.00416</u>
Answer:
-6.4z- (3.5x)
Step-by-step explanation:
cant do z times x