A 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.

proportional means equal to a constant times.

change of temp/change in time = R(t) = k * ( 350-H(t) )

To determine the formula giving the rate R as a function of the temperature difference H between the yam and the oven, we can start by applying Newton's Law of Heating, which states that the rate of temperature change is proportional to the temperature difference.

Let's denote the proportionality constant as k. According to Newton's Law, we can write:

R ∝ (oven temperature - yam temperature)

Since the oven temperature is fixed at 350 degrees and the temperature of the yam is H, we can rewrite the proportionality as:

R ∝ (350 - H)

To introduce the constant of proportionality, we can write:

R = k * (350 - H)

Here, R represents the rate of temperature rise in degrees per minute, and H represents the temperature difference between the yam and the oven.

Thus, the formula giving R as a function of H is:

R = k * (350 - H)

To find the value of k, you need additional information or data, such as the initial rate of temperature rise or a specific value of R when H equals a certain value.