Chapter 4, Problem 18SGR

To determine

The linear equation in slope-intercept form for the number of campers that attend camp x years after 2010.

Answer to Problem 18SGR

The linear equation in slope-intercept form is $y=60x+450$ .

Explanation of Solution

Given information:

The camp had 450 campers in 2010. The number of campers increased to 750 after 5 years.

Calculation:

The two points given here are $(0,450)$ and $(5,750)$ .

  $\therefore$ Slope (m) = $\frac{y_2-y_1}{x_2-x_1}=\frac{750-450}{5-0}$ = $\frac{300}{5}=60$

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

We can write it as, $y=60x+b$ , as m = 60.

It passes through the point $(0,450)$ .

  $\therefore$ We will get,

  $\begin{array}{l}450=60(0)+b\\ \Rightarrow 450=0+b\\ \Rightarrow 450=b\\ \Rightarrow b=450\end{array}$

So, the equation in slope-intercept form is $y=60x+450$ .