Another fire is breaking out 200 miles away from the original fire’s center. This new fire started 15 hours after the first one started.
The new fire exploded and already has a 2 mile radius and is growing at a speed of 4.5 miles per hour, also in a circular pattern.
the original fire had a radius of 4 and was growing 7 mph.
what is the function that can represent the new fire, and the old original fire
To represent the growth of the original fire, we can use the equation of a circle:
x^2 + y^2 = (7 * t + 4)^2
where (x, y) represents the coordinates of any point on the fire's edge at time t.
To represent the growth of the new fire, we can use a similar equation:
(x - 200)^2 + y^2 = (4.5 * t + 2)^2
where (x, y) represents the coordinates of any point on the new fire's edge at time t.