A truck can be ready for company a 420 dayPlus $.30 per mile can we be charges $50 a day plus $.50 per mile to rent the same truck find the number of miles in a day at which the rental costs for a company a and Company B same

Answer:it will take 1850 miles

Step-by-step explanation:

Let x represent the number of miles in a day at which the rental costs for a company A and Company B same.

Let y represent the total cost of renting the truck for x miles with company A.

Let z represent the total cost of renting the truck for x miles with company A.

Company A charges $420 a day Plus $.30 per mile. This means that

y = 420 + 0.3x

Company B charges $50 a day plus $.50 per mile to rent the same truck. This means that

z = 50 + 0.5x

To determine the number of miles in a day at which the rental costs for a company A and Company B same, we will equate y to z. It becomes

420 + 0.3x = 50 + 0.5x

0.5x - 0.3x = 420 - 50

0.2x = 370

x = 370/0.2 = 1850 miles