Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar.

-For what amount of sugar do the 2 companies charge the same?
- At what cost when the 2 companies charge the same?

Answer 1

so write the equation
g(x)=200.25x+5500
f(x)=225.75x+5041
make them equal
225.75x+5041=200.25x+5500
225.75x=200.25x+459
25.5x=459
x=18
So at 18 tons, and costs 9104.5