MATHEMATICS HIGH SCHOOL

A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?Total minutes of talk time Monthly cost of cell phone
0 $19.95
10 $20.45
20 $20.95
30 $21.45
40 $21.95


A.) The average rate of change is $0.50, meaning that for each minute of talk time, the monthly bill increases by $0.50.

B.) The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.

C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

D.) The average rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05.

Answers

Answer 1
Answer:

For this case, the first thing we must do is find the average rate of change for the mentioned interval.

By definition we have to:

AVR = (f(x2)-f(x1))/(x2-x1)

Substituting values we have:

AVR = (21.95-19.95)/(40-0)

Rewriting we have:

AVR = (2)/(40)

Answer:

C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

Answer 2
Answer: The answer would be B The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50. 

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The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.A: number of cars; money raised; 30 to 100 cars; $600 to $2000
B: money raised; number of cars; 30 to 100 cars; $600 to $2000
C: number of cars; money raised; $600 to $2000; 30 to 100 cars
D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answers

independent variable = number of cars with domain 30 to 100 cars
dependent variable = moner raised with range $600 to $2000

What is the ranges for f(x) = 2x + 4 when the domains are 1, 2, 3, and 10

Answers

The ranges would be 6, 8, 10, and 24, hope this helps!

PLEASE HELP!!!!!!!!!!!!!!! A small coffee cup holds 75% as much as a large coffee cup. If the small holds 36 units, how much does the large coffee cup hold?

Answers

Answer:

48 units

Step-by-step explanation:

Let x = the amount the large cup holds

36 = 75% of x

36 = .75x.        (The word "of" indicates you will be multiplying)

36 ÷ .75 = x

48 = x

The points (0,3) and ( – 2,j) fall on a line with a slope of – 3.

Answers

As per the concept of Slope intercept form, the value of j with the line of slope -3 is 9.

Slope intercept form:

Slope intercept form is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis

The standard form of the slope intercept form is

y = mx + b

y represents the y coordinate

m represents the slope

x represents the x coordinate

b represents the y intercept

Given,

Here we have the points (0, 3) and (-2, j) and the slope of the line is -3.

Here we need to find the value of j.

As per the concept of slope intercept form,

First we have to take the point (0,3) and the slope -3, in order to find the intercept of the equation then we get,

3 = -3(0) + b

3 = 0 + b

b = 3.

Now, we know the value of b so the standard form of the equation is written as,

y = -3x + 3

Now, we have to use the point (-2, j) on the equation, to find the value of j,

j = -3(-2) + 3

j = 6 + 3

j = 9

Therefore, the value of j is 9.

To know more about Slope intercept form here.

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The following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 After removing the outlier, what does the mean absolute deviation of this data set represent?

Answers

The outlier is the obviously different data among the whole group of data points. In this case, the outlier is 22. When you find the mean, you only use the data points without the outlier. Therefore,

Mean = (9+4+10+9+5+2+10+3+3+5)/10 = 6

Then, the mean absolute deviation is

∑(x-mean)^2/n, where x is every single data point and n is the number of data points which is equal to 10

|9-6|+|4-6|+|10-6|+|9-6|+|5-6|+|2-6|+|10-6|+|3-6|+|3-6|+|5-6| = 28

Then,

Mean Absolute Deviation (MAD) = 28/10 = 2.8

This is the average distance of the data from the mean.

Answer:

I took the test, it is On average, the height of a plant varies 2.8 inches from the mean of 6 inches.

Step-by-step explanation:

The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month? (1 point)


5.92 dollars per month
3.75 dollars per month
Five dollars per month
Nine dollars per month

Answers

The right answer for the question that is being asked and shown above is that: "Nine dollars per month." the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month is that Nine dollars per month

The closest approximate average rate of change for Edna's profits is calculated as: A. 5.92 dollars per month

What is the Average Rate of Change of a Function?

The formula for the average rate of change is, f(b) - f(a) / b - a.

Given the following:

  • a = 12, f(a) = -36
  • b = 18, f(b) = 0

Average rate of change = 0 - (-36) / 18 - 12

Average rate of change = 36 / 6

Average rate of change = 6

Approximate average rate of change would be: A. 5.92 dollars per month

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