Question

The Coyotes are interested in trading their star safety. He is a veteran and makes $1.2 million per year. They are considering signing a player from another team who makes less money per year. If the Coyotes hope to save $1.5 million in salary over the next 3 years, what is the maximum amount they can pay the player from the other team?

Answer 1

Answer:

     $\large\boxed{\large\boxed{\ 0.7million\text{ }per\text{ }year}}$

Explanation:

1. Money to pay the star safety over 3 years:

• 3 year × $ 1.2 million/year = $ 3.6

2. Money to pay the player from the other team

• x (unknown salary for one year)

• 3x (over the three years)

3. Money to save:

Set the equation (inequality) that represents the savings of at least $1.5 million over the next 3 years.

• 3.6 - 3x ≥ 1.5

Solve:

• 3.6 - 1.5 ≥ 3x

• 2.1 ≥ 3x

• 0.7 ≥ x

• x ≤ 0.7

Hence, $ 0.7 million is the upper bound, and represents the maximum amount they can pay the player from the other team.