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=(15+3x)/(3+x) \\ y=(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.