Question

A machine is filling a container with candy. The graph below shows the relationship between the amount of candy C (in grams) in the container and the time T (in seconds) since the machine began filling the container.



Amount of candy (grams)
C1002003004005006007008009001000T1234567890
Time (seconds)


(a)Write an equation to represent the relationship between C and T.


(b)Choose the correct statement to represent this relationship.

The machine is filling the container with 100 grams of candy per second.
The machine is filling the container with 1 gram of candy per 100 seconds.
The machine is filling the container with 1 gram of candy per second.
The machine is filling the container with 200 grams of candy per second.

Answer 1

(a) To find an equation to represent the relationship between C and T, we need to determine the pattern in the data. Looking at the graph, we can see that as the time T increases by 1 second, the amount of candy C increases by 100 grams. This tells us that the rate of change is 100 grams per second. We can use this information to write the equation:

C = 100T

(b) The correct statement to represent this relationship is:

The machine is filling the container with 100 grams of candy per second.