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Mira's walkie-talkie has a range of 1 mile. Mira is traveling on a straight highway and is at mile marker 102. Identify the a
d.bsolute-value equation and solution to find the minimum and maximum mile marker from mile marker 102 that Mira's walkie-talkie will reach.
a. l x+102 l=1 x=102
b. l x+1 l-102=1 x=103 or x=102
c. l x-102 l =1 x=103 or x=101
d. l x+1 l =102 x=101 or x = - 101

PLEASE HELP

Respuesta :

frika

Answer:

C.  l x-102 l =1

x=103 or x=101

Step-by-step explanation:

Mira's walkie-talkie has a range of 1 mile. Mira is traveling on a straight highway and is at mile marker 102.

This means the minimum mile marker from mile marker 102 that Mira's walkie-talkie will reach is [tex]102-1=101[/tex] mile and the maximum mile marker from mile marker 102 that Mira's walkie-talkie will reach is [tex]102+1=103[/tex] mile.

If x mile represents the mile marker from mile marker 102, then the absolute value of [tex]x-102[/tex] is 1 mile, so the equation is

[tex]|x-102|=1[/tex]

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