Question

How far will the football have traveled if travel is h/x h/x= -1/30x(x -61)

Answer 1

To determine the distance the football will have traveled, we need to find the value of h/x and substitute it into the given equation h/x = -1/30x(x-61). By solving for x and substituting it back into the equation, we find that the football will have traveled approximately 3.6 meters.

Step-by-step explanation:

To determine the distance the football will have traveled, we need to find the value of h/x and substitute it into the given equation h/x = -1/30x(x-61). Let's solve for x.

h/x = -1/30x(x-61)

Multiplying both sides by 30x:

30(x-61) = -x

Expanding the left side:

30x - 1830 = -x

Combining like terms:

31x = 1830

Dividing both sides by 31:

x = 59.0323 meters

Now, we can substitute this value back into the original equation to find h:

h/x = -1/30x(x-61)

h/59.0323 = -1/30(59.0323)(59.0323 - 61)

Multiplying:

h/59.0323 = -1/30(59.0323)(-1.9677)

Simplifying:

h/59.0323 = 0.061

Multiplying both sides by 59.0323:

h = 59.0323 * 0.061

h = 3.6 meters

Therefore, the football will have traveled approximately 3.6 meters.