Question

Item 3

Answer 1

Answer:

The unit rate in ml per kg is 1.75 ml per kg.

Step-by-step explanation:

The amount of medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.

In the graph x-axis labeled weight in kg and y-axis labeled the amount of medicine in ml. The points (0,0) and (8,14) are on the graph.

Hence, the slope of the graph represents the unit rate in ml per kg.

Now, the slope of a straight line passing through the points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is given by $[\frac{y_{2} - y_{1}}{x_{2} - x_{1}}]$.

Therefore, the slope of the graph will be $\frac{14 - 0}{8 - 0} = \frac{7}{4} = 1.75$ and the unit rate in ml per kg is 1.75 ml per kg. (Answer)