Let P(x) be the number of people in the U. S. Who own a cell phone x years after 1990. Your friend says that P(x+1)>P(x) for any x because x+1 is always greater than x

. Is your friend correct? Explain.

yes; The value of the function increases as x increases.

no; The value of the function decreases as x increases.

yes; The value of x increases by 1 as the value of the function increases by 1.

no; It is not known whether the value of the function will increase or decrease as increases

Question

19-10-2022
Mathematics

Answered

Let P(x) be the number of people in the U. S. Who own a cell phone x years after 1990. Your friend says that P(x+1)>P(x) for any x because x+1 is always greater than x

. Is your friend correct? Explain.

yes; The value of the function increases as x increases.

no; The value of the function decreases as x increases.

yes; The value of x increases by 1 as the value of the function increases by 1.

no; It is not known whether the value of the function will increase or decrease as increases

Answer :

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-10-27T06:37:15-04:00

The correct answer is no, since even if the function value of x is larger, there is a chance that the number of cell phone owners will decrease from x to x+1. Option d is correct.

Given that,

Let P(x) represent the proportion of Americans who have a cell phone x years after 1990. Your friend claims that because x+1 is always greater than x, P(x+1)>P(x) for any x.

The correct answer is no, since even if the value of x is larger, there is a chance that the number of cell phone owners will decrease from x to x+1.

The Options are

A. yes; The value of the function increases as x increases is wrong.

B. no; The value of the function decreases as x increases is wrong.

C. yes; The value of x increases by 1 as the value of the function increases by 1 is wrong.

D. no; It is not known whether the value of the function will increase or decrease as increases is correct.

Therefore, Option d is correct.

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