Question

Bobby fills a water tank at the rate of 0.12 mL in every minute. Create a hypothetical table of values for time and capacity. Determine the equation that represents the function and state it graphically.

Answer 1

Equation:

C = 0.12t

Step-by-step explanation:

If the rate is 0.12 mL in every minute, after a minute there are 0.12 mL more in the water tank. So, we can create a hypothetical table as:

Time Capacity

0 min 0 mL

1 min 0.12 mL

2 min 0.12 mL + 0.12mL = 0.24 mL

3 min 0.24 mL + 0.12 mL = 0.36 mL

4 min 0.36 mL + 0.12 mL = 0.48 mL

So, the equation that gives us the relation between the capacity and the time is:

C = 0.12*t

Because, for example, when t is 4 minutes, the capacity C is:

C = 0.12*4 = 0.48 mL

And that is the same value that we found in the table.

Finally, we can graph the function as: