Using the absolute value function, the least and greatest amounts that the two friends could spend on food are $98 and $122, respectively.
<h3>What is the absolute value function?</h3>
The absolute value function is defined by:
Hence, the one example of the function is:
|x| = a means that x = a or x = -a.
In this problem, the equation is:
0.5|x - 110| = 6.
Then, removing the 0.5:
|x - 110| = 6/0.5
|x - 110| = 12.
Applying the definition of the absolute value function, we have that:
x - 110 = -12 or x - 110 = 12.
For the least amount, we have that:
x - 110 = -12 -> x = $98.
For the greatest amount, we have that:
x - 110 = 12 -> x = $122.
More can be learned about the absolute value function at brainly.com/question/24514895
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