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
5.25294
6.25350
7.25406
9.25518
a. yes. the ratios of towers to customers (thousands) are all equivalent to a unit rate of.
b. no. the ratios of towers to customers are not all equivalent.

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 \(56\).