Q27. - Algebra 1

Question

In 2000, a camp had 450 campers. Five years later, the number of campers rose to 750. Write a linear equation that represents the number of campers that attend camp. 

Step-by-Step Solution

Answer

The required equation is $N=450+60t$.

Step 1. Determine the formula that can be used.

The standard form associated with the slope and the intercept form related to the line that is straight $y=mx+c$ in which the slope is represented by m and the y-intercept is represented by c can be used to write the required equation.

Step 2. Take the help of the obtained method.

Determine the growth associated with campers for each year. 

 

$\begin{array}{c}\frac{750-450}{5}=\frac{300}{5}\\ =60\end{array}$

 

Take the help of obtained standard form represented by $y=mx+c$ in which the required values can be filled by using the obtained growth, initial count of campers, t which represents the time and N which will represent the count.

 

$N=450+60t$

Step 3. Write the conclusion.

The obtained equation is $N=450+60t$ so it is the required equation.