Question

phillip wants to buy a baseball cap. sales tax in his city is 8%. select the prices of all caps ph could buy for less than or equal to $20 once sales tax is added. select all the correct answers. $18.50 $19.00 $19.90 $18.18 $18.68

Explanation:

Step1: Let the original price be \( x \). The total cost with tax is \( x + 0.08x = 1.08x \). We need \( 1.08x \leq 20 \), so \( x \leq \frac{20}{1.08} \approx 18.5185 \).

Step2: Check each price:

• For \( \$18.50 \): \( 18.50\times1.08 = 19.98 \leq 20 \), valid.
• For \( \$19.00 \): \( 19.00\times1.08 = 20.52 > 20 \), invalid.
• For \( \$19.90 \): \( 19.90\times1.08 = 21.492 > 20 \), invalid.
• For \( \$18.18 \): \( 18.18\times1.08 = 19.6344 \leq 20 \), valid.
• For \( \$18.68 \): \( 18.68\times1.08 = 20.1744 > 20 \), invalid.

Answer:

\$18.50, \$18.18