Question

eric's boss has been very impressed with his work. he has given him a $2 raise and now eric earns $12 an hour. his boss also has increased eric's work to 10 to 25 hours per week. the restrictions remain the same; he needs to work a full-hour in order to get the hourly wage (working 1.5 hour does not pay him for 1.5 hours but for one hour) what is the function equation

Answer 1

Step-by-step explanation:

Let's write the function equation for Eric's earnings based on the given information.

Let:

E(H) be Eric's earnings in dollars.

H be the number of hours Eric works per week.

Now, we need to define the function E(H) based on the number of hours worked:

E(H) = {

0, if H < 10,

10 * (H - 9), if 10 <= H <= 25,

10 * 16, if H > 25

}

Step-by-step explanation:

If H < 10 (less than 10 hours), his earnings will be 0 since he needs to work a minimum of 10 hours to get paid.

If 10 <= H <= 25 (between 10 and 25 hours, inclusive), he will be paid for the number of full hours worked at his hourly wage ($12 per hour), minus the initial 9 hours (to account for the 1st hour when he didn't get a raise). So, he will receive $10 for each hour worked above 9 hours.

If H > 25 (more than 25 hours), he will be paid for 16 hours at his hourly wage ($12 per hour), as his boss increased his work hours to a maximum of 25 per week.

This function equation accounts for the restrictions that Eric needs to work a full hour to get paid, and the boss has increased his work hours while giving him a $2 raise.