A cab service charges customers a base fee and an additional charge per mile of the distance traveled. If x represents the distance traveled, in miles, and y represents the total cost, in dollars, which of the following situations is represented by the table below? Distance (miles) 5 10 15 20
Total Cost $14.25 $23.50 $32.75 $42
A.
The base fee for hiring a cab is $5, and there is an additional charge of $1.85 per mile.

B.
The base fee for hiring a cab is $10, and there is an additional charge of $4.25 per mile.

C.
The base fee for hiring a cab is $5, and there is an additional charge of $9.25 per mile.

D.
The base fee for hiring a cab is $7, and there is an additional charge of $1.65 per mile.

answer: it is d

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

p

step-by-step explanation: