A family is planning a driving vacation and is estimating the price of gasoline. While on the vacation, the family plans to drive 3,000 miles. The car gets about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. Which of the following is the estimate for cost of gasoline for the vacation?<\/p>\n\n\n\n
A.
$120.00<\/p>\n\n\n\n
B.
$41.50<\/p>\n\n\n\n
C.
$72.29<\/p>\n\n\n\n
D.
$199.20<\/p>\n\n\n\n
The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To estimate the cost of gasoline for the family’s driving vacation, we can break the calculation down into a few steps.<\/p>\n\n\n\n First, we need to determine how many gallons of gasoline the family will need for their trip. They plan to drive 3,000 miles, and their car gets 25 miles per gallon. To find the total gallons needed, we use the formula:<\/p>\n\n\n\n [ Next, we need to calculate the total cost of the gasoline. We know the cost of gasoline is $1.66 per gallon. To find the total cost, we multiply the total gallons needed by the cost per gallon:<\/p>\n\n\n\n [ Now, we can compare our calculated total cost with the options provided:<\/p>\n\n\n\n A. $120.00 From our calculation, the correct answer is D. $199.20.<\/p>\n\n\n\n In summary, the family\u2019s driving vacation will require approximately 120 gallons of gasoline to cover 3,000 miles. With gasoline priced at $1.66 per gallon, the total cost amounts to $199.20. This systematic approach to estimating the gasoline cost not only helps the family budget for their trip but also provides insight into the importance of planning for fuel expenses when embarking on long-distance travel. Understanding mileage and fuel costs can lead to more informed financial decisions while on vacation.<\/p>\n","protected":false},"excerpt":{"rendered":" A family is planning a driving vacation and is estimating the price of gasoline. While on the vacation, the family plans to drive 3,000 miles. The car gets about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. 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\\text{Total gallons} = \\frac{\\text{Total miles}}{\\text{Miles per gallon}} = \\frac{3000 \\text{ miles}}{25 \\text{ miles per gallon}} = 120 \\text{ gallons}
]<\/p>\n\n\n\n
\\text{Total cost} = \\text{Total gallons} \\times \\text{Cost per gallon} = 120 \\text{ gallons} \\times 1.66 \\text{ dollars per gallon} = 199.20 \\text{ dollars}
]<\/p>\n\n\n\n
B. $41.50
C. $72.29
D. $199.20<\/p>\n\n\n\n