I am confused with this problem,

A 14.1 oz box of cereal costs $2.89. Find the constant of direct variation

I don't know how to figure out the constant of direct variation and i need help.

cost varies directly with weight, so

c = kw

plug in your values:

2.89 = k*14.1
k = .204

most likely, k = .2 = 1/5

To find the constant of direct variation, we need to use the formula:

y = kx

Where y is the dependent variable, x is the independent variable, and k is the constant of direct variation.

In this case, the dependent variable y is the cost, x is the weight of the cereal box, and we want to find the constant of direct variation k.

From the problem, we are given that a 14.1 oz box of cereal costs $2.89. So we can plug in these values into the equation:

2.89 = k(14.1)

To solve for k, we need to divide both sides of the equation by 14.1:

k = 2.89 / 14.1

Using a calculator, we can evaluate this expression to find the value of k.

To find the constant of direct variation, you need to understand the equation representing direct variation. In direct variation, two variables are directly proportional to each other and can be represented as y = kx, where k is the constant of direct variation.

In this problem, you are given the weight of the cereal box (x) and its cost (y). By looking at the given information, we know that the weight and the cost are directly proportional to each other. Therefore, we can set up the equation as follows:

y = kx

Now, you can substitute the given values into the equation:

2.89 = k(14.1)

To find the value of k, divide both sides of the equation by 14.1:

k = 2.89 / 14.1

Using a calculator, you can find that k is approximately 0.205.

Hence, the constant of direct variation in this problem is approximately 0.205.