Chapter 4, Problem 1MCQ

To determine

The linear equation in slope-intercept form.

Answer to Problem 1MCQ

The linear equation in slope-intercept form is $y=75x+30$

Explanation of Solution

Given information:

Pantoon boat rentals given, $105 for 1 hour and $180 for 2 hours.

Calculation:

The two points given here are $(1,105)$ and $(2,180)$ .

  $\therefore$ Slope (m) = $\frac{y_2-y_1}{x_2-x_1}=\frac{180-105}{2-1}$ = $\frac{75}{1}=75$

The equation in slope-intercept form is $y=mx+b$

We can write it as, $y=75x+b$ , as m = 75.

It passes through the point $(1,105)$ .

  $\therefore$ We will get,

  $\begin{array}{l}105=75(1)+b\\ \Rightarrow 105=75+b\\ \Rightarrow 105-75=b\\ \Rightarrow b=30\end{array}$

So, the equation in slope-intercept form is $y=75x+30$ .