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
4.25
187
5.25
231
6.25
275
8.25
363
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.
Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of
  
enter your response here.
B.
No. The ratios of towers to customers are not all equivalent.

Answer 1

To determine if the relationship between the number of towers and the number of customers is proportional, we need to calculate the ratios of towers to customers for each pair of values provided in the table.

1. **For 4.25 thousand customers and 187 towers:**
\[
\text{Ratio} = \frac{187 \text{ towers}}{4.25 \text{ thousand customers}} = \frac{187}{4.25} = 44
\]

2. **For 5.25 thousand customers and 231 towers:**
\[
\text{Ratio} = \frac{231 \text{ towers}}{5.25 \text{ thousand customers}} = \frac{231}{5.25} = 44
\]

3. **For 6.25 thousand customers and 275 towers:**
\[
\text{Ratio} = \frac{275 \text{ towers}}{6.25 \text{ thousand customers}} = \frac{275}{6.25} = 44
\]

4. **For 8.25 thousand customers and 363 towers:**
\[
\text{Ratio} = \frac{363 \text{ towers}}{8.25 \text{ thousand customers}} = \frac{363}{8.25} = 44
\]

Now, since all the ratios calculated are equal (44), we can conclude that the relationship is proportional.

### Answer:
A. Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of **44**.