cold yam is put into a hot oven, the temperature of the yam begins to rise. The rate R in degrees per minute at which the temperature rises is governed by Newton's Law of Heating, which says that the rate is proportional to the temperature different between the yam and the oven. If the oven is at 350 degrees and the temperature of the yarn H degrees F.

Question

cold yam is put into a hot oven, the temperature of the yam begins to rise. The rate R in degrees per minute at which the temperature rises is governed by Newton's Law of Heating, which says that the rate is proportional to the temperature different between the yam and the oven. If the oven is at 350 degrees and the temperature of the yarn H degrees F.

a) write a formula giving R as a function of H

i know that the proportion formula is y=kx. would i put the 350 in for y and leave x as the variable? i don't know what to do. thank you.

Answer 1

y=kx is a general formula but I think the question is asking for you to be more specific than that. The temperature difference is 350-H and the rate is R.

See if R = k(350-H) looks right to you.

Answer 2

To write a formula for the rate R as a function of the temperature H, let's first understand the information given in the problem. According to Newton's Law of Heating, the rate of temperature change (R) is proportional to the temperature difference between the yam and the oven.

Let's assume the constant of proportionality as k. This means that:

R = k * (350 - H)

Here, 350 represents the temperature of the oven, and (350 - H) represents the temperature difference between the oven and the yam.

So, the formula for R as a function of H is R = k * (350 - H).

To find the value of the constant of proportionality (k), we need more information from the problem or experimental data. Once we have the value of k, we can plug it into the formula to determine the rate of temperature change (R) for any given temperature of the yam (H).