You compare prices of limousines for the spring dance. Company A charges a $250 fee plus $130 for each hour you use the limo. For a similar limo, Company B charges a $125 fee plus $155 for each hour. After how many hours of use will Company B cost more than Company A?
Answer:
5 hours
Step-by-step explanation:
Let h be the amount of hours that the limo is hired, we must determine the hours of use will company B cost more than company A. We have an inequality expression in terms of total cost for company A and B:
On the left side we have company A total cost and on the right side we have company B total price:
\(250+130\cdot(h)<125+155\cdot(h)\)
We can solve for h:
\(25\cdot(h)>125/25\)
\(h>5\)
After 5 hours company B will cost more than company A