Question

5. Martin is a telemarketer and receives $75 every day he works. He make a baseline of 35 calls (c) every hour. For every call he makes over 35 in one hour, Martin receives a bonus of $5.50 per call. Martin works for 4 hours every day and makes the same number of calls every hour. Write a function to express the total amount of money Martin will make as a function of the number of calls he makes. If Martin makes a total of 45 calls every hour, how much money will Martin make for the day?​

Answer 1

Answer: The function to express the total amount of money Martin will make as a function of the number of calls he makes is:

Total Money = (Number of hours worked x Base pay per hour) + (Bonus pay per hour x Number of bonus calls)

Where:

Number of hours worked = 4

Base pay per hour = $75 / 4 = $18.75 (since he works for 4 hours every day and receives $75)

Bonus pay per hour = ($5.50 x (Number of bonus calls)) / 4 (since he works for 4 hours every day and receives a bonus of $5.50 per call over 35 in one hour, which is equivalent to $5.50 / 4 per call)

Number of bonus calls = (Total calls - (Number of hours worked x Baseline calls per hour))

Using this formula, we can calculate how much money Martin will make for the day if he makes a total of 45 calls every hour:

Number of bonus calls = (45 - (4 x 35)) = 5

Bonus pay per hour = ($5.50 x 5) / 4 = $6.875

Total Money = (4 x $18.75) + (4 x $6.875) = $75 + $27.50 = $102.50

Therefore, if Martin makes a total of 45 calls every hour, he will make $102.50 for the day.

Explanation: