# math or algebra

I have two questions

The temperature changed from 7ºF at 6 P.M. to -5ºF at midnight. What was the difference between the high and low temperatures? What was the average change in temperature per hour? The difference between the temperatures is 12 because 7 - (-5) = 7 + 5 = 12. What I need help with is the average change in temperature per hour, I don't understand what it's asking for or how to do it, is it asking for the mean between the temperatures ? Please show work and explain.

Second question: At 11,560 feet above sea level, Climax, Colorado, is the highest town in the United States. The lowest is Calipatria, California, at 185 feet below sea level. How much closer to sea level is the town that is closer? How do I show which is closer ? I forgot how to show absolute value if that's what it's asking for. Thanks~

1. 👍
2. 👎
3. 👁
1. rate of change is °/hr
You have 12° in 6 hrs
Thus the average rate of change is -12°/6hr = -2°/hr

the distance from sea level is just the absolute value of the elevation. That is,
+500 ft and -500 ft are both just 500 ft from sea lavel. So,
Climax: |11560| = 11560
Calipatria: |-185| = 185

Clearly, Calipatria is much closer to sea level than Climax. How much closer? That's the difference in the two distances:

11560-185 = 11375

So, while Climax is 11745 ft higher than Calipatria, it is only 11375 ft closer to sea level.

1. 👍
2. 👎

## Similar Questions

1. ### precalculus

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 90 and 70 degrees, respectively. Assuming t is

2. ### Pre-Calc

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 67 degrees occurs at 5 PM and the average temperature for the day is 60 degrees. Assuming t is the number of hours

3. ### math-precalculus

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 87 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after

4. ### Math

Updated: At midnight the temperature was -8F. At noon the temperature was 23F. Which expression represents the increase in temperature? A) -8 - 23 B) {-8} - 23 C) -8 - {23} D) {-8 - 23}

1. ### Equation help?

From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was –20°C. What was the temperature at midnight. I know it's -20-8 = -28 C temp at 12am, but how do I write it an equation?

2. ### math

The temperature outside was 3 degrees Fahrenheit at midnight. During the next hour the temperature fell 7 degrees. What was the temperature at 1 A.M. Can u explain to me how to do it please

3. ### Math

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 87 degrees and the low temperature of 63 degrees occurs at 5 AM. Assuming t is the number of hours since

4. ### Precalculus

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 62 and 48 degrees, respectively. Assuming t is

1. ### algebra1

at midnight, the temperature was-12degrees F. by noon, the temperature had risen 25degrees F. durinh afternoon, it fell to 10degrees f ANOTHER 3 degrees f by midnight. what was the temperature at midnight?

2. ### PreCalc

The temperature T(t) varies sinusoidally on a certain day in December. The minimum temperature is 35 degrees Fahrenheit at midnight. The maximum temperature is 50 degrees Fahrenheit at noon. Let t be the number of hours since

3. ### Math

At noon, the temperature was 12. It rose 8 during the afternoon, and then dropped 28 by midnight. What was the temperature at midnight? -18 -8 (MY ANSWER) 6 50

4. ### mathematics

Yesterday, between noon and midnight, the temperature dropped by 29.5°F. If the temperature was -3.4°F at midnight, what was it at noon?