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lara [203]
2 years ago
11

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p

ound, which is cheaper than your usual neighborhood store, which sells it for $3.49 a pound. Is it worth the extra drive?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much chicken will you be buying? 6 pounds
How much far are the two stores? My neighborhood store is 2.4 miles away, and takes about 7 minutes. The store across town is 8.2 miles away, and takes about 26 minutes.
How kind of mileage does your car get? It averages about 25 miles per gallon in the city.
How many gallons does your car hold? About 13 gallons
How much is gas? About $3.89/gallon right now.


Going to the further store is cheaper
Going to the close store is cheaper
The cheaper option saves you $


Give your answer to the nearest cent.
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
8 0

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.


Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town


$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89


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It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =\frac{k}{x}\
when y = -18 and x = 6
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