Question

A cylindrical tank can hold a maximum of 40 litres of water. It has 15 litres of water
in it to start with. Water is flowing slowly in at a rate of 5 litres per minute.
a) Prepare a table of values showing how much water is in the container at 1-minute
intervals from 0 up to 3 minutes

Answer 1

The equation that shows the amount of water in the tank after x minutes is given by y = 5x + 15

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let y represent the amount of water in the tank after x minutes. Water is flowing slowly in at a rate of 5 liters per minute, hence:

y = 5x + 15

At 1 minute, x = 1: y = 5(1) + 15 = 20

At 2 minute, x = 2: y = 5(2) + 15 = 25

At 3 minute, x = 3: y = 5(3) + 15 = 30

The equation that shows the amount of water in the tank after x minutes is given by y = 5x + 15

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