1Now that you are successful in your new position you have d

1.Now that you are successful in your new position, you have decided to reward yourself with a new (or new to you) vehicle. Sources say you should strive to have your vehicle payment be no more than 10% of your gross monthly salary of $4,279.33. Write an inequality, using x to represent your gross monthly salary and y to represent your monthly car payment, which could be used to calculate the range of payments that will work in your budget. (Do NOT input your salary on this step):

2.Using the inequality you came up with in the previous question, input your gross monthly salary in the inequality you wrote to determine your range of possible car payments. Show both your replacement of x with your gross monthly salary and the final solution with an appropriate label.

3.Using the solution and what we know to be an appropriate domain based on the question, write the possible car payment options in interval notation.

Solution

1. If x is the gross monthly salary, y is the monthly vehicle payment and if One should strive to have the vehicle payment be no more than 10% of one\'s gross monthly salary, then y x*10 % or, y x*10/100 or, y x/10. Thus, the range of payments that will work in one\'s budget is 0 y x/10.

2. If x = $ 4279.33, then 0 y (4279.33)/10 or, 0 y 427.93 ( on rounding off to thenearest cent. In interval notation , y [ 0, 427.93]