the question

Question

Cost (5)

15-

10-

5-

0

0

2

4

6

Weight (in ounces)

At the Custard Creamery, the cost of ice cream custard is directly proportional to ts weight in ounces. Complete the equation of the graph with its constant of proportionality

J = Box x

Answer 1

The equation can be written as J = Box x, where J represents the cost of ice cream custard and x represents the weight in ounces. To find the constant of proportionality (Box), we can use the given data points.

Let's take the first data point, where the cost is 15 and the weight is 5. Plugging these values into the equation, we get:

15 = Box x 5

Next, let's take the second data point, where the cost is 10 and the weight is 10. Plugging these values into the equation, we get:

10 = Box x 10

Simplifying both equations, we have:

15 = 5Box

10 = 10Box

Now, we can solve these equations simultaneously to find the value of Box.

From the second equation, we can divide both sides by 10:

1 = Box

Now, substituting this value of Box into either of the equations, we get:

15 = 5Box

15 = 5(1)

15 = 5

Therefore, the constant of proportionality (Box) is 1.

The equation of the graph is J = x