Question

Hurry PLSSS HELP I WILL GIVE 33 or more points plssssshelp

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

Answer 1

100, 140

Step-by-step explanation:

Answer 2

$100, $140

Step-by-step explanation:

`\sf \rightarrow (1)/(2) |x-120| = 10`

`\sf \rightarrow |x-120| = 2(10)`

`\sf \rightarrow |x-120| = 20`

`\sf \rightarrow x-120 = \pm 20`

`\sf \rightarrow x-120 = 20 \quad or \quad x - 120 = -20`

`\sf \rightarrow x= 20+120 \quad or \quad x = -20+120`

`\sf \rightarrow x= 140\quad or \quad x = 100`

Hence, the least amount is $100 and greatest amount is $140.