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. 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. yes. the ratios of towers to customers (thousands) are all equivalent to a unit rate of

Explanation:

Step1: Calculate the ratio for the first pair

For \(5.25\) thousand customers and \(294\) towers, the ratio is \(\frac{294}{5.25}\).

$$ \frac{294}{5.25}=\frac{294\times100}{5.25\times100}=\frac{29400}{525} = 56 $$

Step2: Calculate the ratio for the second pair

For \(6.25\) thousand customers and \(350\) towers, the ratio is \(\frac{350}{6.25}\).

$$ \frac{350}{6.25}=\frac{350\times100}{6.25\times100}=\frac{35000}{625}= 56 $$

Step3: Calculate the ratio for the third pair

For \(7.25\) thousand customers and \(406\) towers, the ratio is \(\frac{406}{7.25}\).

$$ \frac{406}{7.25}=\frac{406\times100}{7.25\times100}=\frac{40600}{725}=56 $$

Step4: Calculate the ratio for the fourth pair

For \(9.25\) thousand customers and \(518\) towers, the ratio is \(\frac{518}{9.25}\).

$$ \frac{518}{9.25}=\frac{518\times100}{9.25\times100}=\frac{51800}{925}=56 $$

Answer:

A. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of \(56\).