Question

Item 3

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



What is the unit rate in milliliters per kilogram?


Enter your answer as a decimal in the box.




mL/kg

Coordinate plane with title labeled amount of medicine, x-axis labeled weight in kilograms and y-axis labeled amount of medicine in milliliters. A line starts at point left parenthesis 0 comma 0 right parenthesis and runs through point left parenthesis 8 comma 14 right parenthesis.

Answer 1

Answer: 1.75

Step-by-step explanation: here is the proof

with the other answers 3/3/2023

Answer 2

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

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
`[(y_(2) - y_(1))/(x_(2) - x_(1))]`.

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