Question

What is meant by function here?
How can I find it

Answer 1

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

`(\stackrel{x_1}{2}~,~\stackrel{y_1}{17})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{27}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{27}-\stackrel{y1}{17}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ 10 }{ 2 } \implies 5`

`\begin{array}ll \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{17}=\stackrel{m}{5}(x-\stackrel{x_1}{2}) \\\\\\ y -17 = 5 x -10 \implies {\Large \begin{array}{llll} y = 5 x +7 \end{array}}`

Answer 2

y = 5x + 7

Explanation:

Let ‘ Y ‘ represent our rental

Let ‘ X ‘ represent our number of days rented

Y = KX + B from the table we know

`\left \{ {{k + b = 12} \atop {k + b = 17}} \right.` ⇒
`\left \{ {{k = 5} \atop {k = 7}} \right.`

Y = 5x + 7

Thus the answer to your problem is, Y = 5x + 7