write the linear equation that models this situation. identifying slopes and explaining what it represent. budget charges 37 + .25 ea mile traveled. let c repre

Question

 

let c represent the cost in dollars of renting a truck driven in miles.

Answer 1

 C =  0.25 m + 37  (1)

   

   Budget charges 37 dollar fixed amount, then 25 c for each mile traveled.

 

   Slope is 0.25 it is cost of travelling each mile, and since it is fixed for each mile, then the cost is a linear function of miles traveled.

  

  Graph of equation (1 ) will have Vertical( C) Intercept of $37. indicative of fixed cost charged for renting a car. 

     Slope is 0.25 means that cost of travelling will be 25 c for each mile traveled .

 

  So graph drawn from ( 0, 37) with 0.25 slope , then:

 

       ( 1, 37.25)  ( 2, 37.50) ( 3, 37.75)  (4, 4.00 ) , .... will fall on the line.

 

      Every additional mile drive will cost 25c more.