Question

The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on the graph.

What is the unit rate in grams per cup?

Enter your answer as a decimal in the box.
g/cup

Coordinate plane with title labeled amount of fat, x-axis labeled volume in cups, and y-axis labeled amount of fat in grams. A line begins at point left parenthesis 0 comma 0 right parenthesis and runs through point left parenthesis 4 comma 18 right parenthesis right parenthesis.

Answer 1

To find the unit rate in grams per cup from the line on the graph, we can use the coordinates of the points provided.

The two points mentioned are:
- \( (0, 0) \)
- \( (4, 18) \)

We can find the unit rate (slope of the line) by using the formula for slope:

\[
\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (4, 18) \).

Now, plug in the values:

\[
\text{Slope} = \frac{18 - 0}{4 - 0} = \frac{18}{4} = 4.5
\]

This means the unit rate is \( 4.5 \) grams per cup.

Thus, the answer is:

\[
\boxed{4.5} \text{ g/cup}
\]