The cost to pick apples at two orchards is shown in an equation and with a description, where x represents the number of apples:

Orchard A

y=0.2x+3


Orchard B

Admission is $5 and apples cost $0.75 per pound.
A pound of apples contains about 3 apples. If paying the least amount is most important to you, which orchard should you use if you are going to pick 32 apples? Explain how you arrived at your answer. 1 sentence

1 answer

To find the total cost at each orchard for picking 32 apples, for Orchard A, we substitute \( x = 32 \) into the equation, giving \( y = 0.2(32) + 3 = 6.4 + 3 = 9.4 \) dollars. For Orchard B, since there are about 3 apples per pound, 32 apples weigh approximately \( \frac{32}{3} \approx 10.67 \) pounds, costing \( 10.67 \times 0.75 = 8.00 \) dollars plus a $5 admission fee, totaling \( 8.00 + 5 = 13.00 \) dollars. Therefore, Orchard A is cheaper at $9.40, so you should use Orchard A to minimize costs.