Question

A $500$-litre tank full of oil is being drained at the constant rate of $20$ litres per minute.
(a) Write a linear function $V$ for the number of litres in the tank after $t$ minutes (assuming that the drainage started at $t=0$)
(b) Find the $V$ and the $t$ intercepts and intepret them
(c) How many litres are in the tank after $11$ minutes and $45$ seconds?

Answer 1

Given ,Total capacity of tank=$500l$

Drained at $20$ litres per minute.

Total no. of liters drained in $t$ minutes =$20t$

So, function of $V$ as in terms of $t$ minutes=$500-20t$

When time is $11$ min $45$ seconds i.e, =$(11+\frac{45}{60})$ minutes.

No. of litres left=$500-\left(20\right)\left(\frac{660+45}{60}\right)=265$ liters.