Acab company charges according to the following rate chart. which graph correctly represents the rates?
a b c d

First graph represents the correct graph for the given rate chart.

Explanation:

According to the given chart, we have a piece-wish function,

   ----------(1)

where b is any unknown value.

Since, it is the rate charge, So, it must be continuous.

And, the maximum rate of the function 5+x will be calculate on x=10 which is 5+10=15

Therefore, third function must be start from this point (10,15)

So, it will satisfy that point.

⇒15=2×10+b⇒b=-5

By substituting the value of b in equation (1) we get our function

After mapping this we found that graph (1) is correct.

In Graph (2) (10,10) is the intersection point of functions 5+x and 2x-5, which is false.

In graph (3) (10,5) is the intersection point of functions 5+x and 2x-5, which is false.

In graph (4) (10,10) is the intersection point of functions 5+x and 2x-5, which is false.