Atravel agency made the table below to represent the profits it make on a certain vacation package.

number of people vs. profit
number of people who buy the package, x
profit per person (in dollars), f(x)
10 500
20 800
30 900
40 800
50 500

which of the following explains the best model for the data in the table?

a)an absolute value function since the values increase and then decrease
b)an exponential function since the ratio of the y-values are about the same.
c)a linear function since the function changes at a rate of 30 dollars per person
d)a quadratic function since the points are symmetric about the line x = 30

D) a quadratic function since the points are symmetric about the line x = 30

Step-by-step explanation:v

When we plot the given points on the graph we see that,

A parabola appears opening downwards about the line x = 30 because the point (10,500) is symmetric to point (50,500) and point (20,800) is symmetric to point (40,800).

Since, Parabola is the shape of graph of quadratic function.

Hence,  Option D) a quadratic function since the points are symmetric about the line x = 30 is correct.

what?

step-by-step explanation:

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.