The national weather service is recording the temperatures on a cold day. The temperature at 6 A.M. is -14^circ F The temperature increases an average of (3)/(4)F each hour until noon , and then it drops an average of -1(1)/(4)^circ F each hour until 5 P M. Which of the following statements are true? Select all that apply. The temperature at 5 P.M. is -15(3)/(4)^circ F The change in the temperature from noon to 5 P.M. is -6(1)/(4)^circ F At noon, the temperature is -9(1)/(2)^circ F The total change in the temperature from 6 A.M. to 5 P.M. is -2(1)/(4)^circ F The change in the temperature from 6 A M. to noon is (1)/(8)F.

Question

The national weather service is recording the temperatures on a cold day. The temperature at 6 A.M. is -14^circ F The temperature increases an average of (3)/(4)F each hour until noon , and then it drops an average of -1(1)/(4)^circ F each hour until 5 P M. Which of the following statements are true? Select all that apply. The temperature at 5 P.M. is -15(3)/(4)^circ F The change in the temperature from noon to 5 P.M. is -6(1)/(4)^circ F At noon, the temperature is -9(1)/(2)^circ F The total change in the temperature from 6 A.M. to 5 P.M. is -2(1)/(4)^circ F The change in the temperature from 6 A M. to noon is (1)/(8)F.

Answer 1

To determine which statements are true, we need to calculate the temperature at different times throughout the day.Given information:- The temperature at 6 A.M. is

.- The temperature increases an average of

each hour until noon.- The temperature drops an average of

each hour until 5 P.M.Step 1: Calculate the temperature at noon.The temperature increases by

each hour from 6 A.M. to noon (6 hours).Temperature increase from 6 A.M. to noon =

Temperature at noon = Temperature at 6 A.M. + Temperature increase from 6 A.M. to noonTemperature at noon =

Step 2: Calculate the temperature at 5 P.M.The temperature drops by

each hour from noon to 5 P.M. (5 hours).Temperature decrease from noon to 5 P.M. =

Temperature at 5 P.M. = Temperature at noon + Temperature decrease from noon to 5 P.M.Temperature at 5 P.M. =

Step 3: Calculate the change in temperature from noon to 5 P.M.Change in temperature from noon to 5 P.M. = Temperature at 5 P.M. - Temperature at noonChange in temperature from noon to 5 P.M. =

Step 4: Calculate the total change in temperature from 6 A.M. to 5 P.M.Total change in temperature from 6 A.M. to 5 P.M. = Temperature at 5 P.M. - Temperature at 6 A.M.Total change in temperature from 6 A.M. to 5 P.M. =

Step 5: Calculate the change in temperature from 6 A.M. to noon.Change in temperature from 6 A.M. to noon = Temperature at noon - Temperature at 6 A.M.Change in temperature from 6 A.M. to noon =

Therefore, the true statements are:- The temperature at 5 P.M. is

- The change in the temperature from noon to 5 P.M. is

- At noon, the temperature is

- The total change in the temperature from 6 A.M. to 5 P.M. is

- The change in the temperature from 6 A.M. to noon is

Question

Solution

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