```Question 145937
First, let's set up equations to represent the charges of the two different moving companies.

For Heavy Lifters, the initial fee is 80 plus an additional 35 for each hour.
H(x) = 35x + 80

Quick Move has no initial fee, and charges 55 per hour.
Q(x) = 55x

In "a", we are asked to find the best company for two hours of work.
H(2) = 35(2) + 80
H(2) = 150
Q(2) = 55(2)
Q(2) = 110
So by comparision, we know that Quick Movers is a better deal for two hours of work.

In "b", we are asked to find the best movers for fifteen hours of work.
H(15) = 35(15) + 80
H(15) = 605
Q(15) = 55(15)
Q(15) = 825
For fifteen hours, Heavy Movers is the best choice.

Lastly, for "c", we are asked to find the time at which Quick Movers is the better deal.
We first find the time at which both companies charge the same amount.
55x = 35x + 80
x = 4

By using test numbers, one greater than four, and one less than four, we can determine which values each compny offers the best deals.

H(5) = 255
Q(5) = 275

H(3) = 185
Q(3) = 165

With this, we see that anything less than or equal to 4 hours makes Quick Move a greater deal.

Quick Movers is the better deal where h =< 4```