Answer:
if Joseph travels minimum 151 miles , then Company A will be better buy.
Step-by-step explanation:
lets create equation for both that is company A and Company B
Lets assume number of miles be represented by x
Company A charges = (0.25 × x ) + 50 = 0.25x + 50
Company B charges = (0.45 × x ) + 20 = 0.45x + 20
lets first find out number of miles when Company A charges = Company B charges
⇒0.25x + 50 = 0.45x + 20
⇒ 50 - 20 = 0.20x
⇒x = 30÷0.20 = 150
so At x = 150 miles , charges for both the company will be same.
Need to observe that for company A to be better buy ,it should be travelling more as its rental fee is more but charges per mile is less. and since company charges only for whole number mileage , next whole number after 150 is 151 . hence if Joseph travels minimum 151 miles , then Company A will be better buy.
we can check by keeping x = 151 in equation formed
Company A charges = (0.25 × 151 ) + 50 = 87.75
Company B charges = (0.45 × 151) + 20 = 87.95
hence for 151 miles travel Company A is better buy than Company B
