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 (4, 18) (0, 0)

1 answer

To find the unit rate in grams per cup from the given points (0, 0) and (4, 18), we can calculate the slope of the line that connects these two points. The slope is defined as the change in the y-value (grams of fat) divided by the change in the x-value (cups of granola).

Using the two points:

  • The first point (0, 0) indicates that at 0 cups, there are 0 grams of fat.
  • The second point (4, 18) indicates that at 4 cups, there are 18 grams of fat.

The formula for the slope (unit rate) is:

\[ \text{slope} = \frac{\text{change in y}}{\text{change in x}} = \frac{18 - 0}{4 - 0} = \frac{18}{4} = 4.5 \]

Therefore, the unit rate is:

\[ 4.5 \text{ grams per cup} \]

So the answer is:

4.5 g/cup