Final answer:
The correct baseball caps Phillip could buy, considering the 8% sales tax and staying within a $20 budget, are priced at $18.18 (Option A) and $18.50 (Option B) as their total costs are $19.63 and $19.98, respectively, which are both under $20.
Step-by-step explanation:
The correct answer to which baseball caps Phillip could buy for less than or equal to $20 once sales tax is added involves calculating the total cost of each cap including the 8% sales tax. Here's how the calculation is done:
- Convert the sales tax rate from a percentage to a decimal by dividing by 100 (e.g., 8% becomes 0.08).
- Multiply the original price by the sales tax rate to find the amount of tax.
- Add the amount of tax to the original price to find the total cost.
- Select all options where the total cost is less than or equal to $20.
Let's do the calculation for each option:
Option A) $18.18 + ($18.18 * 0.08) = $18.18 + $1.45 = $19.63 < $20
Option B) $18.50 + ($18.50 * 0.08) = $18.50 + $1.48 = $19.98 < $20
Option C) $18.68 + ($18.68 * 0.08) = $18.68 + $1.49 = $20.17 > $20
Option D) $19.00 + ($19.00 * 0.08) = $19.00 + $1.52 = $20.52 > $20
Option E) $19.90 + ($19.90 * 0.08) = $19.90 + $1.59 = $21.49 > $20
Thus, the correct options where the total cost is less than or equal to $20 are A) $18.18 and B) $18.50.
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