The number of miles driven is proportional to the gallons of gasoline used. The graph shows this relationship. What is the unit
rate for miles driven per gallon? The graph shows distance traveled, in miles, on the y-axis and gasoline used, in gallons, on the x-axis. The line goes through point (four, thirty-eight).
1 answer:
You might be interested in
Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:
We know that:
Then our integral is:
The right side is equal to:
The bounded area is 5 + 5/6 square units.