The answer is 24. You subtract 40 - 16.
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:
so
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is
Total distance: d = 3 km
Minutes run: x
Distance run = (1 km / 2 minutes) * x = (1/2)x
Distance from the finish line = total distance - ditance run = 3 - (1/2)x =
= - (1/2)x + 3
Answer - (1/2)x + 3
The correct answer is C.
The inverse property of multiplication states that a number multiplied by its reciprocal equals 1. The reciprocal of 1/2 is 2/1, or 2.