Customers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick. What is an equation to model the total cost, y, for x pounds of blueberries?

Question

y =5x+4
y =4x+5
y= 4(x+ 5)
y =x(5 + 4)

Answer 1

To model the total cost \( y \) for \( x \) pounds of blueberries picked at Blueberry Hill, we need to consider both the entry fee and the cost per pound of blueberries.

1. There is a $5 entry fee.
2. Each pound of blueberries costs $4.

So, the total cost can be represented as:

\[ y = \text{(entry fee)} + \text{(cost per pound) } \times \text{(pounds picked)} \] \[ y = 5 + 4x \]

Thus, the equation to model the total cost is:

\[ y = 4x + 5 \]

So the correct answer is:

y = 4x + 5