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)

Question

Responses

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=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=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.

Answer 1

To model the total cost of the shuttle in relation to the number of miles, we can break down the cost structure:

• The base fare is $15.
• The cost per mile is $0.50.

If \( x \) represents the number of miles, then the total cost \( y \) can be expressed as:

\[ y = 15 + 0.5x \]

This means that for each mile (represented by \( x \)), you add $0.50 to the initial $15 charge.

Therefore, the correct equation from the provided options is:

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