Question

Which of the following would be the best equation for the function of the values for Janet’s reading?A) p = 6hB) p = 20hC) h = 20pD) 20 + p = h

Answer 1

In order to obtain the best equation for the function of the values for Janet’s reading, we will apply the equation of a straight line between two points.

The formula to calculate the equation of a line between two points is,

`(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Let us now pick any two points from the table given

`\begin{gathered} (x_1,y_1)=(1,20) \\ (x_2,y_2)=(6,120) \end{gathered}`
`\begin{gathered} \text{where,} \\ p=y \\ h=x \end{gathered}`

Therefore,

`\begin{gathered} (y-20)/(x-1)=(120-20)/(6-1) \\ \end{gathered}`

Simplify

`\begin{gathered} (y-20)/(x-1)=(100)/(5) \\ (y-20)/(x-1)=20 \\ y-20=20(x-1) \\ y=20(x-1)+20=20x-20+20=20x \\ y=20x \\ \therefore p=20h \end{gathered}`

Hence, the answer is

`p=20h\text{ (OPTION B)}`