Q58. - Algebra 2

Question

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

58. 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 

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

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.