The number of users of a cell tower in a small, developing town increased by a factor of 1.5 every year from 2010 to 2019. The f

Question

2 months ago

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The number of users of a cell tower in a small, developing town increased by a factor of 1.5 every year from 2010 to 2019. The f

unction below shows the number of cell tower users, f(x), after x years from the year 2010:
f(x) = 5,000(1.5)x

Which of the following is a reasonable domain for the function?

A.2,010 ≤ x ≤ 2,019
B.0 ≤ x ≤ 5,000
C.0 ≤ x ≤ 9
D.All positive integers

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-03-10T07:06:44+03:00

Answer:

Option C) $0 \leq x \leq 9$

Step-by-step explanation:

In the question, we have that:

From 2010 to 2019, the number of users of a cell tower rose by a factor of 1.5 each year.

$f(x) = 5000(1.5)^x$

where f(x) represents the users of the cell tower, and x stands for the years since 2010.

The task requires us to identify the domain of this function.

We define the domain of a function as the set of x values for which the function is valid.

In this case, the function relates to the number of users between the years 2010 and 2019, thus it is relevant for the years 2010 through 2019.

Here, x represents the count of years since 2010.

So, in 2010, x = 0 and in 2019, x = 9.

Therefore, the domain for the function is:

$0 \leq x \leq 9$

tester [12.3K] · Answer 2 · 2026-03-10T07:04:12+03:00

Answer:

B

Step-by-step explanation:

In the provided statement, there is a function indicating the quantity of users of a cell tower, f(x), over the years from 2010 to 2019. To address the question, we need to recall that the domain comprises all possible values that the variable (in this case, x) can take for the function to be valid.

Consequently, since the function relates to years, and "x" stands for the timeframe from 2010 (beginning) to 2019 (end), it follows that the domain spans between these two points.

Thus, the correct answer is:

B. 0 ≤ x ≤ 5,000