a snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks what is the constant of proportionality that relates the number of cups of cereal y to the number of cups of pretzel sticks x
To find the constant of proportionality, we need to determine the ratio between the number of cups of cereal and the number of cups of pretzel sticks in this recipe.
The ratio is:
y = 10x/4
To simplify the ratio, we can divide both the numerator and denominator by 2:
y = (10/2)x/(4/2)
y = 5x/2
Therefore, the constant of proportionality that relates the number of cups of cereal (y) to the number of cups of pretzel sticks (x) is 5/2.
To find the constant of proportionality that relates the number of cups of cereal (y) to the number of cups of pretzel sticks (x), we can use the formula:
constant of proportionality = y / x
In this case, the number of cups of cereal is 10 (y) and the number of cups of pretzel sticks is 4 (x), so we can substitute these values into the formula:
constant of proportionality = 10 / 4
Now, let's calculate this:
constant of proportionality = 2.5
Therefore, the constant of proportionality that relates the number of cups of cereal (y) to the number of cups of pretzel sticks (x) is 2.5.