Question

If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? Round your answer to the nearest hundredth, if necessary.

2.22
2.25
4.44
4.50

Answer 1

To find the time for the trip at a speed of 45 miles per hour, we can use the inverse variation equation y = k/x. By substituting the values and solving the equation, we find that the trip will take approximately 45 hours.

To find how long the trip will take at a speed of 45 miles per hour, we need to use the inverse variation equation:

y = k/x

where y represents the time and x represents the speed. Rearranging the equation to solve for y:

y = k(1/x)

Now we can plug in the given values:

45 = k(1/45)

Simplifying, we get:

45 = k/45

Multiplying both sides by 45:

2025 = k

So, the inverse variation equation becomes:

y = 2025/x

Now, substitute 45 for x:

y = 2025/45 = 45

Therefore, the trip will take approximately 45 hours.