Lesson 14 Practice Problems 1. Achef is making pickles. He needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for and allows customers to buy any amount of vinegar. Decide whether each of the ring ratios correctly represents the price of vinegar. a. 4 gallons to \( \$ 3.00 \) b. 1 gallon to \( \$ 1.50 \) c. 30 gallons to \( \$ 45.00 \) d. \( \$ 2.00 \) to 30 gallons e. \( \$ 1.00 \) to \( \frac{2}{3} \) gallon

To solve this problem, we need to determine whether the ratios provided accurately represent the price of vinegar based on the initial information that 2 gallons of vinegar costs $3.00. Since 1 gallon costs $1.50, we'll evaluate each option in terms of whether it aligns with this price point. a. 4 gallons to \( \$ 3.00 \) - Incorrect, as 4 gallons should be \( 4 \times 1.50 = \$ 6.00 \). b. 1 gallon to \( \$ 1.50 \) - Correct, this matches the direct price of 1 gallon. c. 30 gallons to \( \$ 45.00 \) - Correct, since 30 gallons is 15 times more than the cost of 2 gallons, totaling \( 15 \times 3 = \$ 45.00 \). d. \( \$ 2.00 \) to 30 gallons - Incorrect, as \( 2.00 / 30 = 0.0667 \) gallons, which is far less than the actual price. e. \( \$ 1.00 \) to \( \frac{2}{3} \) gallon - Incorrect, costing \( \frac{2}{3} \times 1.50 = \$1.00 \) does not apply, as we need to match it to proper gallon price ratios. In summary, options b and c are the only correct representations of vinegar pricing.