isabel6195
contestada

A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
What is the cost of each kilometer driven?
_____

A car rental company charges an initial fee plus a constant fee per kilometer driven The table compares the total distance driven on the trip in kilometers and class=

Respuesta :

absor201

The cost is $0.60 per kilometer.

Step-by-step explanation:

Given,

Charges for 110 km = $186

Charges for 145 km = $207

Charges for 170 km = $222

Let,

x be the cost of one kilometer.

y be the initial fee.

According to given statement;

110x+y=186   Eqn 1

145x+y=207   Eqn 2

170x+y=222    Eqn 3

Subtracting Eqn 1 from Eqn 2

[tex](145x+y)-(110x+y)=207-186\\145x+y-110x-y=21\\35x=21[/tex]

Dividing both sides by 35;

[tex]\frac{35x}{35}=\frac{21}{35}\\x=0.60[/tex]

The cost is $0.60 per kilometer.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

maddyj0204

Answer:

$120

^^^got answer right.

Step-by-step explanation:

-----Since the cost per kilometer driven is constant, the table describes a linear relationship.

-----Moreover, the company's initial fee for the trip corresponds to the case where there's no distance driven, which is when distance is 0 kilometers.    

-----The table of values shows that for each increase of 35 kilo in distance, price increases by $21

ΔPrice / ΔDistance= 21/35= 0.6

price - 186= 0.6 (distance- 110)

-------when you solve this you get:

price= 0.6 x distance + 120

             

------  When we plug  Distance=0    into the equation, we find that  Price= 120.  

-------In conclusion, the company's initial fee for the trip is

$120

Otras preguntas