Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an addl fee of $100.25 for each ton of sugar. The second company charges $4496 to rent trucks plus an additional fee of $225.50 for each ton of sugar.

1. For what amount of sugar do the two companies charge the same?

2.What is cost when the two companies charge the same?

Answer 1

Explanation:

cost1(t) = 100.25t + 6500

cost2(t) = 225.5t + 4496

both companies charge the same for the amount of t (tons), when both functions deliver the same result :

100.25t + 6500 = 225.5t + 4496

2004 = 125.25t

t = 2004/125.25 = 16

1. for the transport of 16 tons of sugar they both charge the same.

2. that charge is

100.25×16 + 6500 = $8,104