1. How is exponential growth different from linear growth? Refer to the example below and explain...

 

Transcribed Image Text:

1. How is exponential growth different from linear growth? Refer to the example below and explain the difference. X 0 1 2 3 4 5 Linear: f(x) 5 7 9 11 13 15 Exponential: g(x) 5 10 20 40 80 160 2. Suppose you are hired in a new job with a starting salary of $30,000. Fill in the table with your annual salary depending on whether your boss is using a linear model or an exponential model. Linear Model: After each year, you will get a salary raise of $2000. That amount of increase is constant every year. Exponential Model: After each year, you will always get a salary raise of 5% from the previous year Year $ Amount of Raise Salary Linear Model Linear Model $ Amount of Raise Exponential Model Salary Exponential Model 0 1 2 3 4 Which model would you rather be paid? Extra Credit: Find the linear and exponential function in finding the salary each x year. 1. How is exponential growth different from linear growth? Refer to the example below and explain the difference. X 0 1 2 3 4 5 Linear: f(x) 5 7 9 11 13 15 Exponential: g(x) 5 10 20 40 80 160 2. Suppose you are hired in a new job with a starting salary of $30,000. Fill in the table with your annual salary depending on whether your boss is using a linear model or an exponential model. Linear Model: After each year, you will get a salary raise of $2000. That amount of increase is constant every year. Exponential Model: After each year, you will always get a salary raise of 5% from the previous year Year $ Amount of Raise Salary Linear Model Linear Model $ Amount of Raise Exponential Model Salary Exponential Model 0 1 2 3 4 Which model would you rather be paid? Extra Credit: Find the linear and exponential function in finding the salary each x year.