Question

Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average cost of all the berries he bought was 15+3x/3+x dollars per pint. If the equation y= 15+3x/3+x is graphed in the xy-plane,what quantity will be represented by the y-intercepy of the graph?

Answer 1

start by finding the y intercept, x=0

$\begin{gathered} y=\frac{15+3x}{3+x} \\ y=\frac{15}{3}=5 \end{gathered}$

meaning that the y-intercept is equal to $5

since the function represents the average cost and x=0 means that the y intercept represents the average cost per pint of all the raspberries he bought.