Question

Enter an equation in standard form to model the linear situation.A bathtub that holds 52 gallons of water contains 17 gallons of water. You begin filling it, and after 5minutes, the tub is full

Answer 1

First step is to find the slope of the linear situation

Use (0,17) and (5,52) as the given points

$m=\frac{52-17}{5-0}=\frac{35}{5}=7$

y intercept is 17, then the linear equation in slope intercept form is

$y=7x+17$

Now, clear 17 from this equation to find the standard form

$\begin{gathered} y=7x+17 \\ -7x+y=17 \end{gathered}$