Marie orders a shuttle to the airport and learns that it will cost $15 plus $0.50 per mile. Write the equation of a linear function that models the relationship between number of miles and total cost of the shuttle.(1 point) Responses y=x+7.5 , where x is the number of miles and y is the total cost of the shuttle. y equals x plus 7.5 , where x is the number of miles and y is the total cost of the shuttle. y=15x+0.5 , where x is the number of miles and y is the total cost of the shuttle. y equals 15 x plus 0.5 , where x is the number of miles and y is the total cost of the shuttle. y=7.5x , where x is the number of miles and y is the total cost of the shuttle. y equals 7.5 x , where x is the number of miles and y is the total cost of the shuttle. y=0.5x+15 , where x is the number of miles and y is the total cost of the shuttle. y equals 0.5 x plus 15 , where x is the number of miles and y is the total cost of the shuttle.

Question

GPT-4o mini · Answer

To model the total cost of the shuttle as a linear function, we need to consider the fixed cost and the variable cost associated with the number of miles.

The total cost $ y $ can be calculated using the fixed cost of $15 and the variable cost of $0.50 per mile traveled, which is $ 0.50x $, where $ x $ is the number of miles.

Thus, the equation representing the total cost can be written as:

\[ y = 0.5x + 15 \]

This means that for every mile $ x $, you add $0.50 to the fixed cost of $15.

So, the correct response is:

y = 0.5x + 15, where x is the number of miles and y is the total cost of the shuttle.