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 120 end quantity equals 10 comma where x is the amount spent on food. what are the least and greatest amounts that the two friends could spend on food? $50, $70 $100, $140 $110, $130 $115, $125

Answers

  1. The least amount is $100 and greatest amount is $140.
    For given question,
    We have been given the food budget is modeled by an equation,
    1/2 |x – 120| = 10
    where x is the amount spent on food.
    We need to find the least and greatest amounts that the two friends could spend on food.
    ⇒ 1/2 |x – 120| = 10
    ⇒ |x – 120| = 20
    We can observe that above equation contains absolute vale function.
    ⇒ x – 120 = ±20
    ⇒ x – 120 = -20         or          x – 120 = 20
    ⇒ x = 120 – 20          or          x = 120 + 20
    ⇒ x = 100               or         x = 140
    Therefore, the least amount is $100 and greatest amount is $140.
    Learn more about the absolute value here:
    #SPJ4

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