Question

The temperature adjusted for wind-chill is a temperature which tells you how cold it feels, as a result of the combination of wind and temperature.

Temperature (F)
35 30 25 20 15 10 5 0
5 31 25 19 13 7 -1 -5 -11
10 27 21 15 9 31 -41 -10 -16 Wind Speed (mph)
15 25 19 13 6 0 -7 -13 -19
20 24 17 11 4 -2 -9 -15 -22
25 23 16 9 3 -4 -11 -17 -24

(a) If the temperature is 0°F and the wind speed is 10 mph, how cold does it feel?
(b) If the temperature is 35°F, what wind speed makes it feel like 25°F?
(c) If the wind is blowing at 10 mph, approximately what temperature feels like 0°F?

Answer 1

The wind chill table can be used to determine how cold it feels at different combinations of temperature and wind speed.

Step-by-step explanation:

Wind chill is a measure of how cold it feels when the temperature is combined with wind speed. To determine how cold it feels when the temperature is 0°F and the wind speed is 10 mph, we can look at the table provided. At 0°F and 10 mph wind speed, the temperature adjusted for wind chill is -10°F.

If the temperature is 35°F and we want to know the wind speed that makes it feel like 25°F, we can look at the table and find that at 35°F, a wind speed of 15 mph makes it feel like 25°F.

If the wind speed is 10 mph and we want to know the approximate temperature that feels like 0°F, we can look at the table and find that at 10 mph wind speed, a temperature of 5°F feels like 0°F.

Answer 2

a. -16°F

b. 15mph

c. a=12.5F

Step-by-step explanation:

Wind speed temperature

35 30 25 20 15 10 5 0

5 31 25 19 13 7 -1 -5 -11

10 27 21 15 9 3 -4 -10 -16

15 25 19 13 6 0 -7 -13 -19

20 24 17 11 4 -2 -9 -15 -22

25 23 16 9 3 -4 -11 -17 -24

going by the table above we interpolate from left to right, to get the corresponding value. where mph meets with the tem[erature in the column is what the temperature feels like

(a) If the temperature is 0°F and the wind speed is 10 mph, how cold does it feel?

ans -16°F

b. If the temperature is 35°F, what wind speed makes it feel like 25°F?

answer 15mph

c(c) If the wind is blowing at 10 mph, approximately what temperature feels like 0°F?

Form difference quotient across the row starting at position (10, 30):

is 6/5

6/5=(0-3)/a-15

a=12.5F