A meteorologist has collected the data about the diameter of hailstones in inches, d, and the speed at which they fall in miles per hour, s. The resulting line of best fit for the data set is s=7.62+29.6d. What is the predicted speed for a hailstone with a diameter of 5 inches? Round to the nearest whole number.(1 point)
____ miles per hour
The predicted speed for a hailstone with a diameter of 5 inches is 153 miles per hour.
We can substitute d=5 into the equation and solve for s:
s = 7.62 + 29.6(5)
s = 7.62 + 148
s = 155.62
Rounding to the nearest whole number, we get s = 153.
To find the predicted speed for a hailstone with a diameter of 5 inches, we need to substitute the value of d=5 into the equation s=7.62+29.6d.
Let's calculate:
s = 7.62 + 29.6 * 5
s = 7.62 + 148
s = 155.62
Rounding the answer to the nearest whole number, the predicted speed for a hailstone with a diameter of 5 inches is:
156 miles per hour.
To find the predicted speed for a hailstone with a diameter of 5 inches, you can substitute the value of 5 for the diameter (d) in the equation s=7.62+29.6d.
So, replace d with 5 in the equation:
s=7.62+29.6(5)
Now, perform the multiplication and addition:
s=7.62+148
Add the numbers together:
s=155.62
Round this value to the nearest whole number:
s≈ 156
Therefore, the predicted speed for a hailstone with a diameter of 5 inches is approximately 156 miles per hour.