Question

The temperature of a pot of water is 50⁰ F. The temperature rises 15⁰ per minute. Write an equation below in y=mx + b form to express this situation.

Answer 1

The equation to express this situation is y = 15x + 50.

Explanation:

Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.

And the temperature rises 15⁰ per minute.

So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.

And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.

Compute the equation to express this situation as follows:

`(y-y_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))\cdot (x-x_(1))\\\\(y-125)=(200-125)/(10-5)* (x-5)\\\\y-125=15x-75\\\\y=15x-50`

Thus, the equation to express this situation is y = 15x + 50.