Directions: Find the rate of change (slope). Then predict the next interval.
Hours Miles
2 70
4 140
6 210
8 280
Rate of Change/Slope:
Miles at 10 hours:
To find the rate of change (slope), we can use the formula for slope, which is rise over run. In this case, the rise is the change in miles, and the run is the change in hours.
Rise = 280 - 70 = 210 miles
Run = 8 - 2 = 6 hours
Rate of Change/Slope = Rise/Run = 210 miles/6 hours = 35 miles per hour
To predict the next interval, we can use the rate of change/slope.
If the rate of change is 35 miles per hour, and we want to find the miles at 10 hours, we can use the formula:
Miles at 10 hours = Rate of Change/Slope * Hours + initial miles
Miles at 10 hours = 35 miles per hour * 10 hours + 70 miles = 350 miles + 70 miles = 420 miles
So, the prediction for the miles at 10 hours is 420 miles.