Question

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.29 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.39 a pound. Is it worth the extra drive?How much chicken will you be buying? 5 poundsHow far apart are the two stores? My neighborhood store is 2.3 miles away, and takes about 9 minutes. The store across town is 8.7 miles away, and takes about 25 minutes.How kind of mileage does your car get? It averages about 21 miles per gallon in the city.How many gallons does your car hold? About 14 gallonsHow much is gas? About $3.60/gallon right now.

Answer 1

Here we need to compare the prices of buying something in different places.

We will find that the neighborhood store is cheaper and it takes less time, so it is the better option.

You want to buy 5 pounds of chicken.

In your neighborhood store the price is $3.39 per pound, then for 5 pounds the price will be:

5*$3.39 = $16.95

And it is 2.3 miles away, knowing that with one gallon you can travel 21 miles, for this drive you will need:

(2*2.3 miles)/(21 miles/gal) = 0.22 gallons.

The numerator has a factor of 2 because you need to go there and go back, so you travel that distance two times.

And each gallon costs $3.60, then the cost in gas is:

0.22 gallons*$3.60 = $0.79

Then the total cost is:

C = $16.95 + $0.79 = $17.74

In the other store the price is $3.29 per pound, then the price for 5 pounds will be:

5*$3.29 = $16.45

Now you need to travel 8.7 miles twice, then the total amount of gas that you need is:

(2*8.7 miles)/(21 miles/gal) = 0.83 gals

Then the cost in gas is:

0.83*$3.60 = $2.99

Then the total cost in this case is:

C' = $16.45 + $2.99 = $19.44

So we can see that the cost in the store across town is larger, and it takes more time, so it would be better to go to the neighborhood store.

If you want to learn more, you can read:

brainly.com/question/24577912