Final answer:
To find the amount of vaccine to give to the goat, use a proportion. The correct amount is 12 milliliters.
Step-by-step explanation:
To determine the correct dosage of the livestock vaccine for a 78-pound goat, we use the given rate of 2 milliliters for each 13 pounds of body weight. We first divide the goat's weight by the weight unit for dosage:
78 pounds ÷ 13 pounds = 6.
Next, we multiply this value by the milliliters of vaccine per weight unit:
6 × 2 milliliters = 12 milliliters.
Therefore, a 78-pound goat should be administered 12 milliliters of the vaccine.