Problem 3 algebra help needed

Question

The function y represents the temperature in degrees Fahrenheit ( °F) of a kettle of water that has been on the stove for x minutes. Y=11x+70

a)Find and interpret the y intercept of the equation in the context of the problem.

b)Find and interpret the slope of the equation in the context of the problem

C)what is the temperature of the water after 5 minutes?



Answer 1

a) Let's re-arrange this equation with its physical variables/quantities

F(t) = 11t + 70

Here, y-intercept means when t = 0, when we plug t = 0, we get F(o) = 70

That means our starting temperature in fahrenheits. Right before heating starts.

b) Since this is a y = mx + b standard linear form, slope is m, in our equation it is 11. This means in every 1 min time elapsed, the temperature rises 11F degrees.

c) So, the model is F(t) = 11t + 70, we insert t = 5min

F(5) = 11 x 5 + 70 = 125F. ( We can even iterate over temps, 70, 81, 92, 103, 114, 125, as you see 5 min intervals temps prove us correct)