Given the equation 2w=20

Question

, identify the situation that models the one-step equation. (1 point)
Responses

The recipe calls for half the number of walnuts as cranberries. Twenty tablespoons of cranberries are needed.
The recipe calls for half the number of walnuts as cranberries. Twenty tablespoons of cranberries are needed.

The recipe calls for twice the number of cranberries as walnuts. Twenty tablespoons of walnuts are needed.
The recipe calls for twice the number of cranberries as walnuts. Twenty tablespoons of walnuts are needed.

The recipe calls for half the number of cranberries as walnuts. Twenty tablespoons of walnuts are needed.
The recipe calls for half the number of cranberries as walnuts. Twenty tablespoons of walnuts are needed.

The recipe calls for twice the number of walnuts as cranberries. Twenty tablespoons of cranberries are needed.

Answer 1

To model the equation \(2w = 20\), we can interpret it as a situation regarding the quantities of walnuts (w) and cranberries. Here, \(w\) represents the number of walnuts, and the equation suggests that the number of walnuts is twice a certain quantity (since \(2w\) represents two times the number of walnuts).

From the options provided, the correct response would be:

The recipe calls for twice the number of cranberries as walnuts. Twenty tablespoons of walnuts are needed.

This is because if there are 20 tablespoons of walnuts, then according to the situation described, the number of cranberries would be \(2w = 20\), hence \(w = 10\). Therefore, the cranberries would amount to twice that—\(2 \times 10 = 20\).