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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?

A. $98, $122

B. $104, $116

C. $107, $113

D. $110, $122

Sagot :

The least and the greatest amounts are $98 and $112

How to determine the least and the greatest amounts?

The food budget is modeled by 0.5|x - 110| = 6

So, we have:

0.5|x - 110| = 6

Divide both sides by 0.5

|x - 110| = 12

Remove the absolute bracket

x - 110 = 12 and x - 110 = -12

Add 110 to both sides

x = 112 and x = 98

Hence, the least and the greatest amounts are $98 and $112

Read more about absolute values at:

brainly.com/question/28218338

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