# The cost of a school banquet is $70 plus$15 per person attending. Determine the linear equation that models this problem. What is the cost for 44 people?

Nov 1, 2015

Let's make this an $x - y$ problem where $x$=persons and $y$=cost

#### Explanation:

When $x = 0 \to y = 70$ (this is called the $y$-intercept.

For every $x + 1 \to y + 15$ so $\frac{\Delta y}{\Delta x} = 15$ (=the slope)

So the equation will be $y = 15 x + 70$

And for $44$ or any other number of people you just substitute the number for $x$.