Question

In City​ A, the temperature rises 4(degrees)F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City​ B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F 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?

Answer 1

Answer:

City A:

$A - 3$

City B:

$B - 8$

City B has a greater change in temperature.

Step-by-step explanation:

City A:

Let the initial temperature of city A at 8 AM = $A\ ^\circ F$

Temperature change from 8 AM to 9 AM: 4$^\circ F$ rise

Temperature at 9 AM = $(A+4)\ ^\circ F$

Temperature change from 9 AM to 10 AM: 7$^\circ F$ drop

Temperature at 9 AM = $(A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F$

Total change in temperature = $(A - 3) - A = 3\ ^\circ F$ drop

City B:

Let the initial temperature of city B at 8 AM = $B\ ^\circ F$

Temperature change from 8 AM to 9 AM: 6$^\circ F$ drop

Temperature at 9 AM = $(B-6)\ ^\circ F$

Temperature change from 9 AM to 10 AM: 2$^\circ F$ drop

Temperature at 9 AM = $(B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F$

Total change in temperature = $(B - 8) -B = 8\ ^\circ F$ drop

Therefore, the answer is:

City B has a greater change in temperature.