Question

answer each of the following.

1. if 70 feet of flat electrical cable can be purchased for $164.50, what is the price per foot?
2. the resistance of a wire depends on its length. if a wire that is 16 feet long has a resistance of 0.4 \\(\omega\\), what is the resistance per foot?
3. paul received $62 in canadian dollars in exchange for $50 in u.s. money. what was the exchange rate for each u.s. dollar?
4. population density is the number of residents per square mile. in 2010, there were 75,000 residents living in a certain county with an area of 213 square miles. what was the population density of the county? round your answer to the nearest whole number.
5. challenge: which product has the lower unit cost: product a at 48 ounces for $3.84 or product b at 64 ounces for $5.44? explain your answer.

Explanation:

Calculate price per foot for Question 9

$$ \text{Price per foot} = \frac{\$164.50}{70\text{ feet}} = \$2.35\text{ per foot} $$

Calculate resistance per foot for Question 10

$$ \text{Resistance per foot} = \frac{0.4\ \Omega}{16\text{ feet}} = 0.025\ \Omega\text{ per foot} $$

Calculate exchange rate for Question 11

$$ \text{Exchange rate} = \frac{\$62\text{ CAD}}{\$50\text{ USD}} = 1.24\text{ CAD per USD} $$

Calculate population density for Question 12

$$ \text{Population density} = \frac{75,000\text{ residents}}{213\text{ square miles}} \approx 352.11 \approx 352\text{ residents per square mile} $$

Compare unit costs for Question 13

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Answer:

No.	Answer
10	0.025 \(\Omega\) per foot
11	1.24 Canadian dollars per U.S. dollar
12	352 residents per square mile
13	Product A (Product A has a lower unit cost of \$0.08 per ounce compared to Product B at \$0.085 per ounce)