Answer: The sensor will read 300 liters after 5 minutes.
The sensor sensor should have read 120 liters at time -7 minutes.
Step-by-step explanation:
Given: The amount of water detected by sensor initially= 225 litres
Since, the hose fills the aquarium at a constant rate of 15 liters per minute.
Let x be the time , and y be reading of sensor then
[tex]y=225+15x[/tex]
Therefore, the sensor reads after 5 minutes (put x=5 in the equation)= [tex]225+5(15)=300\ liters[/tex]
To find the sensor read at time -7 minutes put x=-7 in the equation, we get
[tex]y=225+15(-7)=225-105=120[/tex]
Hence, the sensor should have read 120 liters at time -7 minutes.
