Q. 58 - Algebra 2

Question

The Jackson Band Boosters sell beverages for $\backslash (1.75$ and candy for $\backslash )1.50$ at home games. Their goal is to have total sales of $\$525$ for each game.

Does this equation represent a function? Explain.

Step-by-Step Solution

Answer

Yes the equation $1.75x+1.50y=525$ represent a function.

Step 1. Definition of function

One of the definition of function is that it is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

Step 2. Identifying the equation

The respective equation of the given problem is $1.75x+1.50y=525$

Step 3. Reasons for the equations to be a function

Given function is 

$\begin{array}{c}1.75x+1.50y=525\\ or,1.50y=525-1.75x\\ or,y=\frac{525-1.75x}{1.50}\end{array}$

As, we see that for any value of x, we get exactly one y out of the equation.

So, $1.75x+1.50y=525$ represent a function.