Question

acme movers charges $150 plus $30 per hour to move household goods across town. hanks movers charges $55 per hour. for what lengths of time does it cost less to hire banks movers?

Answer 1

Answer:

For the length of time less than 6 hours cost less to hire Hanks movers

Step-by-step explanation:

Let

x -----> the time in hours

y ----> the total cost in dollars

we know that

Acme movers

$y=30x+150$ ----> equation A

Hanks movers

$y=55x$ ----> equation B

Equate equation A and equation B and solve for x

$55x=30x+150$

$55x-30x=150$

$25x=150$

$x=6\ hours$

That means-----> For x= 6 hours The cost in both companies is the same

Verify

For x=6 hours

Acme movers

$y=30(6)+150=\ 330$

Hanks movers

$y=55(6)=\ 330$

If x < 6 hours ----> It cost less to hire Hanks movers

If x > 6 hours ----> It cost less to hire Acme movers

therefore

For the length of time less than 6 hours cost less to hire Hanks movers