SOLUTION: Acme Movers charges ​$100 plus ​$40 per hour to move household goods across town.​ Hank's Movers charges ​$65 per hour. For what lengths of time does it cost less to hireâ€
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Question 1144362: Acme Movers charges ​$100 plus ​$40 per hour to move household goods across town.​ Hank's Movers charges ​$65 per hour. For what lengths of time does it cost less to hire​ Hank's Movers?
It costs less to hire​ Hank's Movers for times less than ___hours. Found 3 solutions by josgarithmetic, Theo, greenestamps:Answer by josgarithmetic(39618) (Show Source):
hank cost less than acme when 65 * x < 40 * x + 100
subtract 40 * x from both sides of this equation to get:
65 * x - 40 * x < 100
combine like terms to get:
25 * x < 100
solve for x to get:
x < 100 / 25 which becomes x < 4.
hank will be cheaper than acme when the number of hours required to finish the job is less than 4 hours.
the two equations for hank and acme can be graphed.
the graph shows where the break even point and when hank is cheaper and when acme is cheaper.
the graph is shown below.
the red line is hank.
the blue line is acme.
you can see that the break even point is 4 hours.
when the number of hours is less than 4, hank is cheaper (red line is below the blue line),
when the number of hours is greater than 4, acme is cheaper (blue line is below the red line).
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