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Anna35 [415]
3 years ago
8

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?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

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:

<em>City B</em> has a greater change in temperature.

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T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

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This implies,

From (i)

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