Use the table to answer the question. Time spent driving (hours) Distance traveled (miles) 0 0 12 30 112 90 2 120 4 240 The table shows the distance traveled on a bus trip from Houston, TX to Dallas, TX as a function of time. Find the rate at which the bus is traveling. (1 point) Responses 60 mph 60 mph 65 mph 65 mph 70 mph

Answer 1

To find the rate at which the bus is traveling, we need to calculate the speed by dividing the distance by the time.

For example, we can take the first two data points (0 hours and 0 miles, and 12 hours and 30 miles) and calculate the speed:
Speed = (30 miles - 0 miles) / (12 hours - 0 hours) = 30 miles / 12 hours = 2.5 miles per hour

We can do this for each pair of data points to find the average speed:
- (30 miles - 0 miles) / (12 hours - 0 hours) = 2.5 miles per hour
- (90 miles - 30 miles) / (112 hours - 12 hours) = 0.8333 miles per hour
- (120 miles - 90 miles) / 2 hours = 15 miles per hour
- (240 miles - 120 miles) / 4 hours = 30 miles per hour

Taking the average of these speeds, we get: (2.5 + 0.8333 + 15 + 30) / 4 = 12.0833

Therefore, the rate at which the bus is traveling is approximately 12 miles per hour.