Question

The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed remains constant, the formula is \(d=r t,\) where \(d\) is the distance, \(r\) is the speed, and \(t\) is the time. a. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? b. A satellite is orbiting Earth at the rate of 250 kilometers per minute. How far will it travel in 2 hours? (IMAGE CAN NOT COPY)

Short answer

Answer: The car will travel 250 miles, and the satellite will travel 30,000 kilometers.

Step-by-step solution

Part a: Distance traveled by a car

The car is traveling at a speed of 50 miles per hour for 5 hours. We can use the formula \(d = r t\) to calculate the distance traveled. In this case, \(r = 50\) and \(t = 5\).

Plug in values for r and t

Plug \(r = 50\) and \(t = 5\) into the formula \(d = r t\): \(d = (50)(5)\)

Calculate the distance

Multiply \(50\) by \(5\) to get the distance: \(d = 250\) The car will have traveled 250 miles.

Part b: Distance traveled by a satellite

The satellite is orbiting Earth at a rate of 250 kilometers per minute and we want to find the distance it will travel in 2 hours.

Convert hours to minutes

Convert the given time of 2 hours to minutes, since the speed is in kilometers per minute: 2 hours * 60 minutes/hour = 120 minutes

Plug in values for r and t

Plug \(r = 250\) and \(t = 120\) into the formula \(d = r t\): \(d = (250)(120)\)

Calculate the distance

Multiply \(250\) by \(120\) to get the distance: \(d = 30000\) The satellite will travel 30,000 kilometers in 2 hours.