Question

The sand in an hourglass drops at a constant rate of 2.5 cubic millimeters (mm) every second. The amount of sand that drops, y, in mm), is a function of time, I, in seconds. 2 me the matching outputs. Graph the inputs of 0, 2, and 6 and their corresponding outputs as ordered pairs.

Answer 1

`\begin{gathered} (0,0) \\ (2,5) \\ (6,15) \end{gathered}`

Explanation:

In this case, the first thing is to calculate the function that describes the situation that would be the following

`\begin{gathered} y=2.5x \\ \text{where y is the amount of sand and x is the elapsed time} \end{gathered}`

Now, we replace the inputs (that is, values of x, therefore it would be 0, 2 and 6 seconds

`\begin{gathered} y=2.5\cdot0=0\rightarrow(0,0) \\ y=2.5\cdot2=5\rightarrow(2,5) \\ y=2.5\cdot6=15\rightarrow(6,15) \end{gathered}`

We graph it as follows: