Darla has a recipe for pot roast. There is a proportional relationship between the weight (in pounds) of the pot roast, x, and the total cooking time (in hours), y. Her recipe says that a 6-pound pot roast should take 3 hours to cook.
The equation for the relationship between x and y is ___=___ ____ Response area = Response areaResponse area
If Darla's pot roast weighs ____Response area pounds, it will take _____ Response area hours to cook.
fill in the blanks
The equation for the relationship between x and y is y = kx, where k is a constant.
If Darla's pot roast weighs x pounds, it will take y hours to cook.
If the pot roast weighs 6 pounds, it will take 3 hours to cook.
The equation for the relationship between x (weight of the pot roast in pounds) and y (total cooking time in hours) is y = (3/6)x.
If Darla's pot roast weighs x pounds, it will take (3/6)x hours to cook.
The equation for the relationship between x (weight in pounds) and y (cooking time in hours) can be determined using the given information. It is mentioned that there is a proportional relationship between the weight and cooking time of the pot roast.
To find the equation, we can use the concept of proportionality. A proportional relationship is represented by the equation y = kx, where k is the constant of proportionality. In this case, the constant of proportionality represents how many hours it takes to cook one pound of pot roast.
According to the given information, a 6-pound pot roast takes 3 hours to cook. We can use this information to find the constant of proportionality, k.
We can set up a proportion using the known values:
6 pounds / 3 hours = x pounds / y hours
By cross-multiplying, we get:
6y = 3x
Dividing both sides by 3 gives us:
2y = x
Therefore, the equation for the relationship between x and y is:
y = (1/2)x
So, if Darla's pot roast weighs x pounds, it will take y = (1/2)x hours to cook.