For each situation described in Exercises 1−4, first write an equation in the form y = mx + b. Then, solve each problem.
1. A sales associate is given a $500 hiring bonus with a new job. She
earns an average commission of $250 per week for the next 12 weeks.
How much does she earn?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).