Yu's family wants to rent a car to go on vacation. Envocar charges $50.50 and 8 cents per mile. Freedomride charges $70.50 and 12 cents per mile. How much more does freedomride changes for driving D miles than Envocar?​

Respuesta :

Answer:

Freedomride charges $(20 + 0.04 D)  for driving D miles than Envocar.

Step-by-step explanation:

Here, according to the given question:

By Envocar Cab Services:

The fixed Charge  = $50.50

The charge per mile  =  8 cents  = 0.08 dollars

So, the charges  of D miles  = D x ( Cost per mile)  = D x ($0.08)  =   0.08 D

Now, the TOTAL CAB CHARGE  = FIXED charge + Charge for D miles

= $50.50 + 0.08 D

⇒ For D miles, Envocar charges $50.50 + 0.08 D  ..... (1)

 

By Freedomride Cab Services:

The fixed Charge  = $70.50

The charge per mile  =  12 cents  = 0.12 dollars

So, the charges  of D miles  = D x ( Cost per mile)  = D x ($0.12)  =   0.12 D

⇒ For D miles, Freedomride charges $70.50 + 0.12 D  ..... (2)

Now, the difference in the charge rate of Envocar  and Freedomride is:

Charge of D miles by (Freedomride  - Envocar)  

= $70.50 + 0.12 D  - ($50.50 + 0.08 D)    = 20 + 0.04 D

Hence,  freedomride charges $(20 + 0.04 D)  for driving D miles than Envocar.