A trolley company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown:


Cost Chart
Distance traveled (miles) (x) Cost (dollars) (y)
(x) (y)
0 6
1 10
2 14


What is the fixed amount charged?
$4
$6
$10
$12

Respuesta :

From the given table, it is clear that fixed amount is $6,
because for x=0 the value of y=6.


Your answer is $6.

Answer: $6

Step-by-step explanation:

Given: A trolley company charges a fixed amount plus a fee based on the distance traveled.

If y represents cost (dollars) charged by the company for x distance traveled  (miles) .

then [tex]y=mx+c[/tex] represents the total cost where c is the fixed charge and m is the fee for the distance traveled.

From, table we can see when x=0, y=6.

[tex]\\\Rightarrow\ 6=0+c\\\Rightarrow\ c=6[/tex]

Hence, the fixed fee charged by the company is $6.