Question

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
5.25 273
6.25 325
7.25 377
9.25 481

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.
OA. 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​

Answer 1

The relationship between the number of cell phone towers and the number of customers is proportional because the ratio of towers to customers is consistent at approximately 52 across all given pairs of values. Option B is the correct answer.

Step-by-step explanation:

To determine if the relationship between the number of towers and the number of customers is proportional, we must check if the ratios of towers to customers are equivalent. Proportionality implies that there is a constant ratio between two quantities. We can calculate the ratio of towers to customers for each given pair of values from the table:

• For 5.25 thousand customers and 273 towers, the ratio is 273/5.25 ≈ 52.
• For 6.25 thousand customers and 325 towers, the ratio is 325/6.25 ≈ 52.
• For 7.25 thousand customers and 377 towers, the ratio is 377/7.25 ≈ 52.
• For 9.25 thousand customers and 481 towers, the ratio is 481/9.25 ≈ 52.

Since the ratio is consistent across all pairs of values, the relationship is indeed proportional. The unit rate here is approximately 52 towers per thousand customers.

Therefore, the correct answer is option B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of approximately 52.