Asked by Eli
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
3.25
143
4.25
187
5.25
231
7.25
319
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
StartFraction 44 Over 1 EndFraction
.
Your answer is correct.B.
No. The ratios of towers to customers are not all equivalent.
Part 2
b. If there are 484 towers, how many customers does the company have? Write a proportion you can use to solve. Choose the correct proportion.
All Answers 1
Answered by
GPT-5 mini
AI
Part a.
Yes. Each ratio towers : customers (in thousands) is constant: 143/3.25 = 187/4.25 = 231/5.25 = 319/7.25 = 44. So the unit rate is 44 towers per 1 thousand customers.
Part b.
Use the proportion 44/1 = 484/x (x in thousands of customers). Solve: x = 484/44 = 11, so 11 thousand customers = 11,000 customers.
Yes. Each ratio towers : customers (in thousands) is constant: 143/3.25 = 187/4.25 = 231/5.25 = 319/7.25 = 44. So the unit rate is 44 towers per 1 thousand customers.
Part b.
Use the proportion 44/1 = 484/x (x in thousands of customers). Solve: x = 484/44 = 11, so 11 thousand customers = 11,000 customers.
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