In City A, the temperature rises F from 8 A. M. to 9 A. M. Then the temperature drops F from 9 A. M. to 10 A. M. In City B, the temperature drops F from 8 A. M. to 9 A. M. Then the temperature drops F from 9 A. M. to 10 A. M. Write an expression that represents the change in temperature from 8 A. M. to 10 A. M. for each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in temperature? Which expression represents the change in temperature for City A?

Here is the full question.

In city A, the temperature rises 9° F from A.M to 9 A.M. Then the temperature drops 8°F from 9 A.M. to 10 A.M. in city B, the temperature drops 1°F from  8 A.M. to 9 A.M. Then the temperature drops 3°F from 9 A.M. to 10 A.M.

Write an expression that represents the change In temperature from  8 A.M. to 10 A.M for each city. Simplify and interpret each sum. Use a pencil and paper. Which expression represents the change in temperature for city A?

In City A, the expression for the change in temperature is = 9 + (-8)

The amount the temperature changes for City A = 1°F

In City B, the expression for the change in temperature is -1 + (-3)

The amount the temperature changes for City B = -4°F

Thus, City A has a greater change in temperature.

Step-by-step explanation:

From the information above; Given that:

In City A, the rise in temperature from 8 A.M to 9 A.M is = 9°F

In City A, the drop in temperature from 9 A.M to 10 A.M = 8°F

Similarly;

In City B, the drop in temperature from 8 A.M to 9 A.M = 1°F

In City B, the drop in temperature from 9 A.M to 10 A.M = 3°F

∴

For City A

The temperature change from 8 A.M to 10 A.M are :

8 A.M to 9 A.M = +9°F

9 A.M to 10 A.M = -8°F

In conclusion, The sum for the change from 8 A.M to 10 A.M = 9 + (-8) = 1°F

For City B

The temperature change from 8 A.M to 10 A.M are:

8 A.M to 9 A.M = -1°F

9 A.M to 10 A.M = -3°F

In conclusion, The sum for the change from 8 A.M to 10 A.M = -1 + (-3) = -4°F

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)