Question

A chemistry lab student begins an experiment with a metal at 80° Celsius. The following function describes the temperature change per minute: f(x) = 69x +80°. How will the graph of this function change if the metal is at 30° at the start of the experiment?

Answer 1

For this case we have a linear function of the form:
 $f (x) = mx + b$
 Where,
 m: slope of the line representing the change in temperature per minute
 b: cutting point with the y axis representing the initial temperature.
 Assuming that the change in temperature per minute is the same, if the metal is at 30 degrees at the beginning of the experiment, the function will be:
 $f (x) = 69x + 30$
 Answer:
 The new function is:
 $f (x) = 69x + 30$
 That is, the original function, moves 50 units down.