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

Respuesta :

The general expression for the change in temperature between 8am and 10am

[tex]\delta_{8-10}= \delta_{8-9} + \delta_{9-10}[/tex] where [tex]\delta[/tex] stands for change in the subscripted time interval.

For city A:

[tex]\delta_{8-10} = 4 - 7 = -3\enspace ^\circ F[/tex]

For city B:

[tex]\delta_{8-10} = -6 - 2 = -8\enspace ^\circ F[/tex]

In city A, there is an overall drop of 3 degrees (negative value). In city B, the temp drops 8 degrees.

Among A and B, city B has a greater change in temperature (8 vs. 3)