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

Question

Orchard A

y=0.2x+3
𝑦
=
0.2
𝑥
+
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.
make the answer simple and like a kid wrote it

Answer 1

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.

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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.

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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!