To figure out which orchard is cheaper, we'll find out how much it costs to pick 32 apples at both Orchard A and Orchard B.
Orchard A: The equation for Orchard A is y = 0.2x + 3.
We can plug in 32 apples for x:
y = 0.2(32) + 3
y = 6.4 + 3
y = 9.4
So, it costs $9.40 to pick 32 apples at Orchard A.
Orchard B: At Orchard B, you pay $5 to get in, and apples cost $0.75 per pound. Since there are about 3 apples in a pound, we need to find out how many pounds 32 apples are.
32 apples ÷ 3 apples per pound = about 10.67 pounds (we'll just say 10.67 for now).
Now we find out how much that costs:
Cost of apples = 10.67 pounds × $0.75 = $8.00 (approximately).
Don’t forget the $5 admission fee! So we add that:
Total cost at Orchard B = $5 + $8.00 = $13.00.
Final decision: Now let’s compare the costs:
- Orchard A: $9.40
- Orchard B: $13.00
Orchard A is cheaper because it costs $9.40, while Orchard B costs $13.00.
So, if you want to spend the least amount of money, you should go to Orchard A!