Question

Part 1 out of 2Use the graph to make a linear model of each function. Describe the meaning of the termsin the models. Then create the linear system, and state what the solution represents.NO(8,77).so40(0,45)sol(0,5)Time (min)8()2149 10The y-intercept, b, of f(t) isand the slope, m, of f(t) isSo f(0) =+The y-intercept, b, of g (t) isand the slope, m, of g(t) isSo g(t) =t+

Answer 1

First, The y-intercept for f(t) is 45

Second, the slope for f(t) is 4

$m=\frac{77-45}{8-0}=\frac{32}{8}=4$

so the f(t)=

$f(t)=4t+45$

The y-intercept for g(t) is 5

the slople is 9

so

$g(t)=9t+5$