Homework Help: Word Problem

Posted by Randy on Wednesday, February 18, 2009 at 2:52pm.

Assume that the mathematical model C(x) = 16x + 130 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between $525,000 and $781,000? Thanks in advance!

Word Problem - Damon, Wednesday, February 18, 2009 at 2:56pm
C is in hundred so divide by 100
substitute in C = 5250 and solve for x
substitute in C = 7810 and solve for x
Word Problem - Randy, Wednesday, February 18, 2009 at 3:11pm
C(x) =16x+130 {x| 320 < x <480

525,000/100

5,250=16x+130

16x=5,250-130

16x=5,120

x=5,120/16

x=320

781,000/100

7,810=16x+130

16x=7,810-130

16x=7,680

x=7,680/16
x=480
Then if that is true then this is the solution? I think I got it!
Word Problem - Damon, Wednesday, February 18, 2009 at 3:33pm
so anything between those numbers 320 and 480 if you did the arithmetic right

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