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
Juliette [100K]
3 years ago
7

Graph the data in the table below. Which kind of function best models the data? write an equation to model the data.

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

A quadratic function.

y=2.5x^{2}

Step-by-step explanation:

If you plot the points given in the table, you obtain the graph shown in the figure attached.

As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.

By definition, the parent function of a quadratic function is:

y=x^{2}

You can compress or stretch it in the y-direction by multiplying the function by a constant C:

 y=Cx^{2}

If 0, then the function is compressed.

If C>1, then the function is stretched.

You can find the constant of the function asked as following:

- Substitute x=1 into the parent function to obtain the y-coordinate:

y=(1)^{2}=1

Then the point is (1,1)

- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:

C=2.5

Then the function is:

y=2.5x^{2}

You might be interested in
Polly bought a new collar and leash for her dog. The total was $7.50. She paid with a ten-dollar bill.
Gelneren [198K]
She got back $2.50 hope this helped
5 0
1 year ago
You purchased a new car for 17,999 in the year 2015. It is now 2020 and you want to sell your car for a fair price. If your car
salantis [7]

Answer:

$7,986.25

Step-by-step explanation:

We can use the following formula to solve:

A=P(1-r)^t

<em>P = principal value</em>

<em>r = rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Since 2015 and 2020 are 5 years apart, we will use 5 for t. Now, plug the values into the equation:

A=17,999(1-0.15)^5

A=7,986.25

Your car would be worth $7,986.25

8 0
3 years ago
Use the figure above to answer the questions.
DENIUS [597]

Answer:

the answer is d

Step-by-step explanation:

the shape of it as well

4 0
3 years ago
-3/5x+-7/10+1/2x=-56
Savatey [412]

Answer:

x=553

Step-by-step explanation:

\frac{-3}{5} x+\frac{-7}{10} +\frac{1}{2} x=-56

Combine like terms:

-\frac{1}{10} x =-\frac{553}{10}

Multiply both sides by -10:

x=553

8 0
1 year ago
The value of y varies directly with x. When y=2 4/7, x=3/7 .
jasenka [17]

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

6 0
3 years ago
Read 2 more answers
Other questions:
  • Part 3 thanks you :D
    9·1 answer
  • a guy goes in the store steals $100 from the cah register then buys $70 worth of things from the store with the same $100 dollar
    9·1 answer
  • Help pls... 20 points
    12·1 answer
  • What is the answer 1 plus 1
    9·2 answers
  • Point E is on line segment DF. Given DE<br> EF.<br> 6 and DF =9, determine the length EF
    7·1 answer
  • *PLEASE HELP TRYING TO MAKE HONOR ROLL*
    12·1 answer
  • PLEASE HELP ME ILL MAKE BRAINLIEST!!!!! <br> I need the correct answer
    9·2 answers
  • HELP ME I WILL MARK BRAINLIEST
    11·1 answer
  • 4.1&lt;7 as a fraction. pls workout and ill mark you brainliest
    12·1 answer
  • Please Help!!! All my points are on this.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!