Final answer:
The opportunity cost of one karate lesson is 1.6 dance lessons, making the correct answer option A.
Step-by-step explanation:
The correct answer is option A. If the family chooses to take one karate lesson instead of dance lessons, they are forgoing the opportunity to take dance lessons. Since they can afford 8 dance lessons or 5 karate lessons, every karate lesson has the opportunity cost of the number of dance lessons that could have been taken with the same amount of money.
To find the opportunity cost of one karate lesson in terms of dance lessons, we divide the number of dance lessons forgone by the number of karate lessons gained. In this case, if the family spends their entire budget on dance lessons, they can afford 8 dance lessons. If they choose to spend their entire budget on karate lessons, they can afford 5 karate lessons. Therefore, the opportunity cost of one karate lesson is 8 dance lessons / 5 karate lessons = 1.6 dance lessons. However, since we are asked for the opportunity cost of one karate lesson in the time frame, we need to consider the time frame given in the question, which is the entire budget.
To calculate the opportunity cost, divide the total number of dance lessons by the total number of karate lessons they can afford (8 dance lessons / 5 karate lessons). This calculation yields 1.6, indicating that the opportunity cost of one karate lesson is 1.6 dance lessons.