Question

Write expressions to estimate the amount the Cote family will pay for gasoline and the number of times they will need to stop for gas for a trip of M miles.

A) Amount for gasoline: (M miles) * ($3.47/gallon to $3.69/gallon)
Number of stops: (M miles) / (25 miles per gallon to 29 miles per gallon)
B) Amount for gasoline: (25 miles per gallon to 29 miles per gallon) * ($3.47/gallon to $3.69/gallon)
Number of stops: (M miles) / (25 miles per gallon to 29 miles per gallon)
C) Amount for gasoline: (25 miles per gallon to 29 miles per gallon) / (M miles)
Number of stops: (25 miles per gallon to 29 miles per gallon) * ($3.47/gallon to $3.69/gallon)
D) Amount for gasoline: (M miles) / (25 miles per gallon to 29 miles per gallon)
Number of stops: (25 miles per gallon to 29 miles per gallon) * ($3.47/gallon to $3.69/gallon)

Answer 1

The correct expression to estimate the gasoline cost for the Cote family's trip is calculating total miles divided by fuel efficiency in mpg, then multiplied by gas price per gallon. To determine the number of stops, divide the total miles by the car's fuel efficiency.

Step-by-step explanation:

When estimating expenses for a trip, it's important to consider the cost of gasoline and the frequency of stops for fuel. To estimate the amount for gasoline, you would calculate the total miles of the trip, M, divide by the fuel efficiency of the car given in miles per gallon (mpg), and then multiply by the cost of gas per gallon. For the number of stops, divide the total miles, M, by the number of miles the family can go on one gallon of gas (fuel efficiency).

So, the correct expressions for the Cote family's trip are:

• Amount for gasoline: (M miles) / (25 miles per gallon to 29 miles per gallon) * ($3.47/gallon to $3.69/gallon)
• Number of stops: (M miles) / (25 miles per gallon to 29 miles per gallon)

The family's fuel efficiency range is 25 to 29 mpg, and the range of gasoline prices is $3.47 to $3.69 per gallon. Using the lower mpg estimate and higher cost per gallon will provide a conservative estimate while using the higher mpg and lower cost per gallon will provide a more optimistic estimate of the cost and stops needed.