Math problem

MAT1205 Week 5 Homework Name ________________________ Due Date _____________________ Please show all work for full credit. Round to two decimal places when necessary. 1.) Graph the line using the slope and the y-intercept. You must show your work for full credit. Make sure to use a straight edge to graph your line. 2 𝑦 =− 𝑥+6 3 Slope: ________________ y-intercept: ________________ 2.) Calculate the x-intercept and the y-intercept. Then, graph the line. You must show your work for full credit. Make sure to use a straight edge to graph your line. −2𝑥 − 4𝑦 = 8 x-intercept: ________________ y-intercept: ________________ 3.) Use the vertical line test to decide if each graph represents the graph of a function. Your answer should be a function OR not a function. a.) b.) c.) d.) 4.) Evaluate 𝑓(−2) for 𝑓(𝑥) = 𝑥 2 − 2𝑥 + 14 Answer: ________________ 5.) Calculate the slope of the line containing the points (-4, 3) and (-2, -7) Answer: ________________ 6.) The average hourly wage of a nurse in Iowa is $61.01 per hour. Sarah’s earnings, E in dollars for working t hours in a week can be defined by the function, 𝐸(𝑡) = 61.01𝑡 a.) How much does Sarah earn if she works 30 hours? Round to the nearest cent. b.) How many hours would Sarah have to work to make $2,900? Round to the nearest hour.