A cab company charges according to the following rate chart. Which graph correctly i
ride of x miles?
Cab Rates by Mile
Miles
Charge
Flag drop fee (0 miles)
$5.00
O $1.00 per mile
x2 10 miles
$2.00 per mile for each mile ov
I cost
(14,23)
(10, 15)

Graph A

Step-by-step explanation:

The question is as following:

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

See the attached figure.

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According to the given data, we have a piecewise function.

Where c is constant.

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

We can find c by equations (5+x) and (c+2x) at x = 10

(5+x) = (c+2x) ⇒ at x = 10

∴ 5 + 10 = c + 2*10

Solve for c

∴ c = 5 + 10 - 2*10 = 5 + 10 - 20 = -5

By substituting with the value of c, the function will be as following:

And , the intersection point of functions 5+x and 2x-5 is (10,15)

By graphing the function we found that graph (A) is correct.

In Graph (B)

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

In graph (C)

We have a constant function in the interval (0,10) which is Wrong.

In graph (D)

The beginning from (0,0) and (10,10) is the intersection point of functions 5+x and 2x-5, which is Wrong.

do it yourself this is easy

step-by-step explanation: