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

y=15x+0.5
y
=
15
x
+
0.5
, where x
x
is the number of miles and y
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=x+7.5
y
=
x
+
7.5
, where x
x
is the number of miles and y
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=7.5x
y
=
7.5
x
, where x
x
is the number of miles and y
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.

Answer 1

To find the equation of a linear function that models the relationship between the number of miles (x) and the total cost (y) of the shuttle, we can use the given pricing structure:

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

Therefore, the total cost (y) can be expressed as the sum of the base cost and the cost for the miles driven:

\[ y = 0.50x + 15 \]

This means:

• \(y\) is the total cost,
• \(x\) is the number of miles,
• The coefficient \(0.50\) represents the cost per mile,
• The constant \(15\) is the fixed base cost.

So the correct answer is:

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