From 19801980 to 20002000, the annual profit of a company was determined by subtracting from / $625{,}000$625,000 the product of / $25{,}000$25,000 and the number of years either before or after 19901990. Which of the following equations below could be used to determine in which year, xx, the profit was / $550{,}000$550,000?

a. 550-25∣x-1990∣=625

b. 625 - 25 | x - 1990 | = 550625-25∣x-1990∣=550

c. 625 + 25 | x - 1990 | = 550625+25∣x-1990∣=550

d. 625 + 25 | x + 1990 | = 550625+25∣x+1990∣=550

Answer: b) 625 - 25 |x - 1990| = 550

Step-by-step explanation:

According to the question,

The annual profit of a company was determined by subtracting from $625,000 the product of $25,000 and the number of years either before or after 1990.

That is, On x year the total profit is,

P (x) = 625,000 - 25,000 |x - 1990|

But again according to the question,

On x years the profit is $ 550,000

Thus, 625,000 - 25,000 |x - 1990| = 550,000

⇒ 625 - 25 |x - 1990| = 550 (by dividing both sides by 1000)

Therefore, Option b) is correct.