Question

Question content area top
Part 1
The table shows the number of cell phone towers a company will build as the number of its customers increases. Complete a and b below.
Cell Phone Towers
Customers​ (thousands)
Towers
5.25
252
6.25
300
7.25
348
9.25
444
Question content area bottom
Part 1
a. Is the relationship between number of towers and number of customers​ proportional? Explain. Choose the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
No. The ratios of towers to customers are not all equivalent.
B.
Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of
  
enter your response here.

Answer 1

To determine if the relationship between the number of towers and the number of customers is proportional, we can calculate the ratios of towers to customers for each pair of values and see if they are all equivalent.

1. For 5.25 thousand customers, there are 252 towers:
\[
\text{Ratio} = \frac{252}{5.25} = 48
\]

2. For 6.25 thousand customers, there are 300 towers:
\[
\text{Ratio} = \frac{300}{6.25} = 48
\]

3. For 7.25 thousand customers, there are 348 towers:
\[
\text{Ratio} = \frac{348}{7.25} = 48
\]

4. For 9.25 thousand customers, there are 444 towers:
\[
\text{Ratio} = \frac{444}{9.25} = 48
\]

Since all the ratios of towers to customers are equivalent to 48, we can conclude that the relationship is proportional.

So the correct answer is:

**B. Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of 48.**