Answer:
(4.462, 19.411)
Step-by-step explanation:
From the description, the functions are:
f(x) = (11/5)^(x - 7/10)
g(x) = 1/8x² + 2x + 8
(Notice that 2 2/10 is equivalent to 22/10 = 11/5)
In the picture attached, the plot of the functions is shown. The exponential is in red and the quadratic is in blue. The exponential function begins to exceed the quadratic function from point (4.462, 19.411)
we have
using a graph tool
see the attached figure
For t=0 d=4 -------> the y-intercept
that means that at the time t=0 the house was four units away.
For t=60 min d=0 -------> x-intercept
that means he was already at home at the time t=60 minutes.
therefore
the graph of this equation represents the walk towards the house
