Question

A cab company charges according to the following rate chart. Which graph correctly represents the rates?

Answer 1

The first option A.) Ghost Rider 
100% sure :)

Answer 2

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

Explanation:

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

$f(x)= \begin{cases} &5 \text{ if } x=0 \\ &5+x \text{ if } 0\leq x$    ----------(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

$f(x)= \begin{cases} &5 \text{ if } x=0 \\ &5+x \text{ if } 0\leq x$

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.