1. Linear Application Problems These are your notes!!! Remember if you have any questions write them down and bring them to class.

2. Problem #1 At the end of the day, Jeff found that the total cash register receipts at the motel where he works were $286.20. This included sales tax of 8%. Find the amount of the tax. x = cost Total = cost + tax $286.20 = (1) x +.08x $286.20 = 1.08x (combine like terms) $265 = x (divide $286.20 by 1.08 to get the amount before taxes) tax =.08($265) or $286.20 – $265 = $21.20

3. Problem #2

4. Problem #3 A couple wishes to rent a car for one day while on vacation. Ford Car Rental wants $15 per day and $0.14 per mile, while Chevrolet-For-A-Day wants $14 per day and $0.16 per mile. After how many miles would the price to rent the Chevrolet exceed the price to rent the Ford? m = # of miles Chevrolet > Ford 14 +.16m > 15 +.14m.16m > 1 +.14m (subtract 14 from 15).02m > 1 (subtract 14m from 16m) m > 50 (divide 1 by.02) Price to rent a Chevrolet will be higher after 50 miles.

5. Problem #4 Steve is saving to buy a car. He has decided he will start looking as soon as he has saved $2000. If he has $1100 in savings now and he can save $150 a month, how many months will it be before Steve can begin looking at cars? X = # of months 1100 + 150x = 2000 150x = 900 (subtract 1100 from 2000) x = 6 (divide 900 by 150) It will take Steve 6 months to begin looking at cars.

6. Problem #5 Ledd Corporation produces a CD-RW drive at a cost of $120 each with fixed costs of $36,000. The CD-RW drive sells for $180. How many drives must Ledd Corporation sell to break even? Do this one on your own!!!

7. Problem #6 A publishing company finds that the cost of publishing a certain book is $12.50 per copy. The fixed costs for publishing the book are $35,000. How many books must the company publish and sell in order to have a profit of at least $15,000 if each book sells for $25? We will discuss this one in class!!!