Question

In the U.S., a dental crown costs between $600 and $3,000. In Costa Rica, a crown is the equivalent of about one-third the cost in the U.S.. Write an inequality for the possible cost (x) of a dental crown in Costa Rica.

a. x≥ $1,000
b. $100≤ x≤ $9,000
c. $200≤ x≤ $1,000
d. $1,800≤ x≤ $9,000

Answer 1

The inequality for the cost of a dental crown in Costa Rica, based on it being one-third the cost in the U.S., is $200 ≤ x ≤ $1,000. Therefore, the correct answer is option c. $200≤ x≤ $1,000.

Step-by-step explanation:

To write an inequality for the possible cost (x) of a dental crown in Costa Rica, we must determine what one-third of the cost range in the U.S. would be.

Since a dental crown costs between $600 and $3,000 in the U.S., one-third of that range would be between $200 (which is one-third of $600) and $1,000 (which is one-third of $3,000).

Therefore, the inequality that represents the cost x of a dental crown in Costa Rica is $200 ≤ x ≤ $1,000.