A scientist is monitoring the temperature of a holding tank containing fish to be released into a river. In one 12-h period, the highest temperature was 10.4°C and the lowest temperature was 7.6°C. Write an absolute value equation that can be used to report the highest temperature and the lowest temperature. (2 marks)
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the two temperatures are equidistant from their average, (10.4+7.6)/2 = 9.0
So, you have |t-9.0| = 1.4
To identify the absolute value equation representing the highest and lowest temperatures, we need to consider the differences between the two temperatures.
The formula for finding the absolute value of a number is |x|, where x represents the number. In this case, we need to find the absolute value of the difference between the highest and lowest temperatures.
Let's assign a variable, T, to represent the absolute value of the difference. Then, the absolute value equation can be written as:
|10.4°C - 7.6°C| = T
This equation represents the absolute value of the difference between the highest (10.4°C) and lowest (7.6°C) temperatures, resulting in the value of T.
To write an absolute value equation for the highest and lowest temperatures, we can use the absolute value function to find the difference between the two temperatures.
The absolute value function is defined as |x|, which returns the distance between x and 0 on a number line.
To find the difference between two temperatures, we subtract the lower temperature from the higher temperature.
In this case, the highest temperature is 10.4°C and the lowest temperature is 7.6°C.
To find the absolute value of the difference, we subtract the lower temperature from the higher temperature and take the absolute value of the result:
|10.4 - 7.6|
Therefore, the absolute value equation to report the highest and lowest temperatures is:
|10.4 - 7.6| = x
Where X represents the absolute value of the difference between the highest and lowest temperatures.