6.3 Homework Problems 1. A computer repair service charges \( \$ 50 \) for a diagnosis and \( \$ 35 \) per hour for repairs. Let \( x \) be the number of hours it takes to repair a computer and let \( y \) be the total cost. a. Write a linear equation to model this scenario. b. Sally took her computer in and it required 2.5 hours to fix it. How much was her total bill? c. George paid \( \$ 155 \) to have his computer repaired. How many hours did the service technician work on his computer?

5. Paloma's report shows that 8 puppies make up \( 10 \% \) of the total animal population at the shelter. Her next report shows that puppies make up only \( 5 \% \) of the total. She also says that the total number of animals at the shelter has increased by 20 . How many puppies are there now? What is the total number of animals at the shelter? Answer: There are now puppies at the shelter. The total number of animals is

b) \( 6(2 w+5)+9(w+2)= \)

4. Pyn rents a heavy-duty sewing machine to sew sails. He pays \( \$ 12 \) the first day and \( \$ 8 \) a day afterwards. A similar heavy-duty sewing machine costs \( \$ 348 \). How many days of rent would make it worth his while to buy one? A 17.4 B -29 C - 42 D_ 43

Express \( \frac{x^{4}+2 x^{2}-x+1}{x^{3}-3 x+2} \) in partial fractions.

c) \( 3(y-2)+4(2 y+5)= \)