Question

Interpreting the parameters of a linear function that models a real-world situation

Answer 1

The equation relating x and y is

`\begin{gathered} y=27x+600 \\ \text{Where } \\ x=\text{Total number of minutes } \\ y=\text{Total amount of water in the pond} \end{gathered}`

The equation connecting x and y is an equation of the form

`\begin{gathered} y=mx+c \\ \text{Where m is the slope or chnages betwe}enx\&y\text{ } \\ \end{gathered}`

Since slope is also refers to as changes between two variables,

Hence

Cmparing with the equation given,

`\begin{gathered} m=27 \\ \text{Slope}=27 \end{gathered}`

Therefore,

The change per minute in the total amount of water in the pond is 27 litres

The starting amount ot water is when the time is at 0 minutes .

Hence, substite x=0 into the equation given and obtain the value of y which stands for the amount of water at the begining.

`\begin{gathered} y=27x+600 \\ \text{put x=0} \\ y=27(0)+600 \\ y=0+600 \\ \text{Then } \\ y=600 \end{gathered}`

Therefore,

The starting amount of water is 600 litres

Answer: A) 27 litres B). 600 litres