Final answer:
The lamp burns oil at a rate of 0.214 ounces per minute.
Step-by-step explanation:
To find the rate at which the lamp burns oil, we need to calculate the difference in the amount of oil before and after a specific time interval, and then divide it by the duration of that interval.
In this case, the lamp contained 13 ounces of oil 10 minutes after it was lit, and 7 ounces of oil 38 minutes after it was lit. So, the lamp burned 13 - 7 = 6 ounces of oil in a span of 38 - 10 = 28 minutes.
To find the rate per minute, we divide the change in oil by the change in time: 6 / 28 = 0.214 ounces per minute.