Question

Jeff has five less than twice the number of clients that Kenan has. The product of the number of clients they have is 322. Write and equation to represent this situation where c represents the number of clients Kenan has.

Answer 1

Answer:

The equation that represents this situation is 2c² - 5c - 322 = 0

Step-by-step explanation:

∵ Kenan has c clients

∵ Jeff has five less than twice the number of clients that

   Kenan has

- That means multiply c by 2 and then subtract 5 from the

   product to find the number of Jeff's clients

∴ Jeff's clients = 2c - 5

∵ The product of the number of clients they have is 322

∴ c × (2c - 5) = 322

- Multiply c by the bracket (2c - 5)

∴ (c)(2c) + (c)(-5) = 322

∴ 2c² + (-5c) = 322

- Remember (+)(-) = (-)

∴ 2c² - 5c = 322

- Subtract 322 from both sides

∴ 2c² - 5c - 322 = 0

The equation that represents this situation is 2c² - 5c - 322 = 0