Question

How would you determine the number of eggs and 15 cartons cartoons

Answer 1

Where

x represents cartons

y represents number of eggs

And

`\begin{gathered} Where \\ x=2,y=24 \\ (x_1,y_1)=(2,24) \\ x=3,y=36 \\ (x_2,y_2)=(3,36) \end{gathered}`

Applying the equation of a straight line formula

`\begin{gathered} (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \\ (y-24)/(x-2)=(36-24)/(3-2) \\ (y-24)/(x-2)=(12)/(1) \\ y-24=12(x-2) \\ y-24=12x-24 \\ y=12x-24+24 \\ y=12x \end{gathered}`

If the number of cartons is 15, i.e. x = 15, the number of eggs, y, will be

`\begin{gathered} y=12x=12(15)=180 \\ y=180 \end{gathered}`

Hence, the number of eggs, y, is 180