Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges to rent trucks plus an additional fee of for each ton of sugar. The second company charges to rent trucks plus an additional fee of for each ton of sugar.For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answer 1

step 1

Find the equation of the line First Company

y=100.25x+6,500

where

y is the total charge

x is the number of ton of sugar

Second Company

y=225.75x+4,492

Part a)

Equate both equations

100.25x+6.500=225.75x+4,492

solve for x

225.75x-100.25x=6,500-4,492

125.50x=2,008

x=16

answer part a is 16 ton

Part b) For x=16 ton

substitute the value of x in any of the two equations (the result is the same)

y=100.25(16)+6,500

y=$8,104

answer Part b is $8,104