average annual beverage consumption by americans\ngallons per person\n48.8\n29.1\n24.6\n21.8\n20.7\n12.9\ncar…

average annual beverage consumption by americans\ngallons per person\n48.8\n29.1\n24.6\n21.8\n20.7\n12.9\ncarbonated soft drinks\nbottled water\ncoffee\nbeer\nmilk\nfruit drinks\nbeverage\n11. at a discount store, fruit drinks average $1.08 less per gallon than at a supermarket. a family of four people purchases all of its fruit drinks at the discount store. estimate the annual savings.\n12. at a discount store, ground coffee averages $0.10 less per ounce than at a supermarket. four college roommates purchase all their ground coffee at the discount store. estimate the annual savings. (7.68 ounces of ground coffee make 1 gallon of coffee.)\n13. at a supermarket, a 24 - pack of 16.9 - fluid - ounce bottles of water costs $4.99.\na. at a discount store, a 35 - pack of 16.9 - fluid - ounce bottles of water costs $4.49. suppose you buy all your bottled water at the discount store instead of at the supermarket. how much will you save per year?\nb. your tap water rate is $2.62 per 1000 gallons of water. suppose you use tap water instead of buying bottled water at the supermarket. how much will you save per year?

average annual beverage consumption by americans\ngallons per person\n48.8\n29.1\n24.6\n21.8\n20.7\n12.9\ncarbonated soft drinks\nbottled water\ncoffee\nbeer\nmilk\nfruit drinks\nbeverage\n11. at a discount store, fruit drinks average $1.08 less per gallon than at a supermarket. a family of four people purchases all of its fruit drinks at the discount store. estimate the annual savings.\n12. at a discount store, ground coffee averages $0.10 less per ounce than at a supermarket. four college roommates purchase all their ground coffee at the discount store. estimate the annual savings. (7.68 ounces of ground coffee make 1 gallon of coffee.)\n13. at a supermarket, a 24 - pack of 16.9 - fluid - ounce bottles of water costs $4.99.\na. at a discount store, a 35 - pack of 16.9 - fluid - ounce bottles of water costs $4.49. suppose you buy all your bottled water at the discount store instead of at the supermarket. how much will you save per year?\nb. your tap water rate is $2.62 per 1000 gallons of water. suppose you use tap water instead of buying bottled water at the supermarket. how much will you save per year?

Answer

Explanation:

Step1: Find annual fruit - drink consumption per person

From the bar - chart, the average annual fruit - drink consumption per person is 12.9 gallons.

Step2: Calculate annual fruit - drink consumption for a family of four

For a family of four, the annual consumption is $12.9\times4 = 51.6$ gallons.

Step3: Calculate annual savings

Since the discount is $1.08$ per gallon, the annual savings is $51.6\times1.08=51.6\times(1 + 0.08)=51.6+51.6\times0.08=51.6 + 4.128 = 55.728\approx55.73$ dollars.

Answer:

The annual savings for the family of four on fruit drinks is approximately $$55.73$.

Explanation:

Step1: Find annual coffee consumption per person

From the bar - chart, the average annual coffee consumption per person is 24.6 gallons.

Step2: Calculate annual coffee consumption for four roommates

For four roommates, the annual consumption is $24.6\times4 = 98.4$ gallons.

Step3: Convert gallons to ounces

Since 7.68 ounces of ground coffee make 1 gallon of coffee, the number of ounces of ground coffee needed for 98.4 gallons is $98.4\times7.68=98.4\times(7 + 0.68)=98.4\times7+98.4\times0.68 = 688.8+66.912 = 755.712$ ounces.

Step4: Calculate annual savings

Since the discount is $0.10$ per ounce, the annual savings is $755.712\times0.10 = 75.5712\approx75.57$ dollars.

Answer:

The annual savings for the four roommates on ground coffee is approximately $$75.57$.

Explanation:

Step1: Calculate the number of fluid ounces in a 24 - pack and 35 - pack

A 24 - pack of 16.9 - fluid - ounce bottles has $24\times16.9 = 405.6$ fluid ounces. A 35 - pack of 16.9 - fluid - ounce bottles has $35\times16.9 = 591.5$ fluid ounces.

Step2: Find the annual consumption of bottled water per person

From the bar - chart, the average annual bottled - water consumption per person is 29.1 gallons. Since 1 gallon = 128 fluid ounces, the annual consumption per person in fluid ounces is $29.1\times128 = 3724.8$ fluid ounces.

Step3: Calculate the number of 24 - packs and 35 - packs needed per person per year

Number of 24 - packs per person per year: $\frac{3724.8}{405.6}\approx9.2$. Number of 35 - packs per person per year: $\frac{3724.8}{591.5}\approx6.3$.

Step4: Calculate the cost at the supermarket and discount store per person per year

Cost at supermarket per person per year: $9.2\times4.99\approx9.2\times5=46$ dollars. Cost at discount store per person per year: $6.3\times4.49\approx6.3\times4.5 = 28.35$ dollars.

Step5: Calculate the annual savings per person

The annual savings per person is $46 - 28.35 = 17.65$ dollars.

Answer:

The annual savings per person on bottled water when buying from the discount store instead of the supermarket is approximately $$17.65$.

Explanation:

Step1: Convert annual bottled - water consumption to gallons

The average annual bottled - water consumption per person is 29.1 gallons.

Step2: Calculate the cost of tap water for the same amount

The tap - water rate is $2.62$ per 1000 gallons. The cost of 29.1 gallons of tap water is $\frac{29.1}{1000}\times2.62=0.0291\times2.62 = 0.076242$ dollars.

Step3: Calculate the cost of bottled water at the supermarket

From the previous part, the cost of bottled water at the supermarket per person per year is approximately $$46$.

Step4: Calculate the annual savings

The annual savings is $46-0.076242\approx45.92$ dollars.

Answer:

The annual savings per person when using tap water instead of buying bottled water at the supermarket is approximately $$45.92$.