he equation y=4x gives the relationship between the number of goats, x, and the number of bales of hay needed per day, y. What is the constant of proportionality? What does it mean in this context?(1 point)
Responses
The constant of proportionality is 4. There are 4 goats eating each bale of hay.
The constant of proportionality is 4. There are 4 goats eating each bale of hay.
The constant of proportionality is 4. Each goat needs 4 bales of hay per day.
The constant of proportionality is 4. Each goat needs 4 bales of hay per day.
The constant of proportionality is 4. The farm needs 4 bales of hay per day.
The constant of proportionality is 4. The farm needs 4 bales of hay per day.
The constant of proportionality is 4. Every bale of hay feeds a goat.
The constant of proportionality is 4. There are 4 goats eating each bale of hay.
The correct response is: The constant of proportionality is 4. Each goat needs 4 bales of hay per day.
In this context, the constant of proportionality represents the ratio between the number of goats and the number of bales of hay needed per day. It tells us that for every goat, 4 bales of hay are needed.
The constant of proportionality in this equation is 4. This means that for every unit increase in the number of goats (x), there will be a corresponding increase of 4 units in the number of bales of hay needed per day (y).
So, if you have 1 goat (x = 1), you will need 4 bales of hay (y = 4) per day. If you have 2 goats (x = 2), you will need 8 bales of hay (y = 8) per day, and so on.
In this context, the constant of proportionality tells us the rate at which the number of bales of hay needed per day changes with respect to the number of goats. It gives us a clear understanding of the relationship between the two variables.