Answer:
- 18 bonus payments, on average, each year.
Explanation:
The information provided about the contract can be translated into an algebraic expression that will yield to an equation that you can solve:
Yearly salary: $ 20,000
- Salary for six years: 6 × $ 20,000 = $ 120,000
Bonus for each game that attracts 100 plus fans:
- Number of bonus payments over the six years: x (unknown)
- Bonus amount: 8,000 × x = 8,000x
- Total earnings: $120,000 + $8,000x
Equation:
- Total earnings = agent's expectation
- 120,000 + 8,000x = 1,000,000
Solve the equation:
- 120,000 + 8,000x = 1,000,000
- 8,000x = 1,000,000 - 120,000
- 8,000x = 880,000
- x = 880,000 / 8,000 = 110 ← number of bonus payments over the 6 years
To obtain the number of bonus payments expected each year, divide the total number of bonus payments (110) by the number of years (6):
Althoug it is not wrong giving the answer as a decimal, because it is an average, you can also round to the closest whole number which is 18.
Hence, the answer is that the pitcher should expect 18 bonus payments, on average, each year.
