Question

Two friends are planning for a gathering. The food budget is modeled by one half times the absolute value of the quantity x minus 110 end quantity equals 6 comma where x is the amount spent on food. What are the least and greatest amounts that the two friends could spend on food?
$98, $122
$104, $116 this one is wrong
$107, $113
$110, $122

Answer 1

Using the absolute value function, the least and greatest amounts that the two friends could spend on food are $98 and $122, respectively.

What is the absolute value function?

The absolute value function is defined by:

• f(x) = x, x ≥ 0.

• f(x) = x, x < 0.

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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