1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marysya [2.9K]
2 years ago
6

An ice cream truck sells ice cream between 2 p. M. And 10 p. M. Each night in the summer. At the end of the night, the driver ca

lculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 5th hour to the 8th hour? Be sure to include the correct units of measurement. A scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75 7 hours −7 dollars per hour per hour 21 dollars −21 dollars per hour per hour.
Mathematics
2 answers:
forsale [732]2 years ago
5 0

Answer:

-7 a hour

Step-by-step explanation:

The average rate of change is the ratio of the change in the dependent variable (Money Earned) to the change in the independent variable (Hour).

Thus, the average rate of change for the data from the 5th hour to the 8th hour is calculated using the points (5, 96) and (8, 75) from the graph. This is, what happens in the middle does not affect the average rate of change.

         

       

eduard2 years ago
3 0

The average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.

Given

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

<h2>How to find the average rate of change?</h2>

The formula is used to find the average rate of change is;

\rm Average \ rate \ of \ change =\dfrac{x_2-x_1}{y_2-y_1}

Here, \rm x_1=54, \ x_2=78, \ y_1=1, \ y_2=4

Substitute all the values in the formula

\rm Average \ rate \ of \ change =\dfrac{x_2-x_1}{y_2-y_1}\\\\\rm Average \ rate \ of \ change =\dfrac{78-54}{4-1}\\\\\rm Average \ rate \ of \ change =\dfrac{24}{3}\\\\\rm Average \ rate \ of \ change =8 \ Doller \ per \ hour

Hence, the average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.

To know more about the Average rate click the link given below.

brainly.com/question/26451671

You might be interested in
Can someone solve this?
noname [10]

Answer:

\frac{5}{6}, \frac{5}{6}, and "Yes"

Step-by-step explanation:

   We will do as the instructions say.

-> See attached.

5 0
2 years ago
4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean
Ede4ka [16]

Adding 2 to each value of the random variable X makes a new random variable X+2. Its mean would be

E[X+2]=E[X]+E[2]=E[X]+2

since expectation is linear, and the expected value of a constant is that constant. E[X] is the mean of X, so the new mean would be

E[X+2]=10+2=12

The variance of a random variable X is

V[X]=E[X^2]-E[X]^2

so the variance of X+2 would be

V[X+2]=E[(X+2)^2]-E[X+2]^2

We already know E[X+2]=12, so simplifying above, we get

V[X+2]=E[X^2+4X+4]-12^2

V[X+2]=E[X^2]+4E[X]+4-12^2

V[X+2]=(V[X]+E[X]^2)+4E[X]-140

Standard deviation is the square root of variance, so V[X]=3^2=9.

\implies V[X+2]=(9+10^2)+4(10)-140=9

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of aX+b for a,b\in\mathbb R is

V[aX+b]=a^2V[X]+b^2V[1]

but the variance of a constant is 0. In this case, a=1, so we're left with V[X+2]=V[X], as expected.

5 0
4 years ago
Determine if the statement is always, sometimes or never true.
Romashka-Z-Leto [24]

Let

x--------> the measure of the adjacent interior angle

y--------> the measure of an exterior angle at the vertex of a polygon

we know that

The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles

so

x+y=180°

<u>Examples</u>

case 1)

<u>In a square</u>

x=90°

so

y=180-90=90°

x=y

In this case

The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle

case 2)

<u>an equilateral triangle</u>

x=60°

so

y=180-60=120°

x\neq y

In this case

The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle

therefore

<u>the answer is</u>

sometimes



4 0
3 years ago
Read 2 more answers
Please help me out here.............
Evgesh-ka [11]
The answer is 21 pounds 7 ounces.
5 0
3 years ago
On Novermber 27, 1993, the New York times reported that wildlife biologists have found a direct ink between the increase in the
Korolek [52]

Answer:

a.  1 263 888

b. 130 701

c. 72 years

Step-by-step explanation:

a. The differential equation applies here.

Let the quantity increase for a certain time be given by Q(t)

Every unity of time, the quantity increases by 1+\frac{r}{100} so that after the time t, the quantity remaining will be given by:

Q(t) = (1+ \frac{r}{100} )^{t}

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:

1-\frac{r}{100} and after the time , t the quantity of R remaining will be given by:

R(t) = (1-\frac{r}{100} )^{t}

a. To find the population of humans in 1953

Q(t) = (1+ \frac{r}{100} )^{t}

1993 - 1953 = 40 years = t

Q(40) = Q×1.06^{40}

Q = 1 263 888.44

    ≈ 1 263 888

b. For bear population in 1993:

R(t) = (1-\frac{r}{100} )^{t}

t = 40

R(40) = b 0.94^{40} = 11 000

b = 130 700. 889

    ≈130 701

c. time taken for black bear population number less than 100 is given by:

130 = 11000×0.94^{t}

solving using natural logarithms gives t = 72.72666

                                                                  =   72 years Ans

8 0
3 years ago
Other questions:
  • What's 5and24/10 divided by 4?
    14·1 answer
  • If a point c is inside
    8·1 answer
  • Write 7 and 4/5ths as a decimal.
    12·1 answer
  • Opportunity to get Brainliest! I will put various questions and will mark BRAINLIEST!
    11·1 answer
  • At the candy store,Cheryl bought 3/4 of a pound of cherry taffy and 1/5 of a pound of chocolate taffy.How much taffy did she buy
    13·1 answer
  • Can someone please help me
    6·2 answers
  • Please help these are two different questions !
    7·1 answer
  • Which is the graph of the linear equation y = -x?
    8·1 answer
  • The sales tax in the town where Amanda lives is 8%. Amanda paid $40 in sales tax on a new stereo. What was the price of the ster
    9·1 answer
  • I have no clue how to do this need help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!