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The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below:

3|x − 8| + 15 = 18

What are the minimum and maximum temperatures for this day?

x = 1, x = 17

x = −7, x = 9

x = 7 x = 9

No solution

Respuesta :

meerkat18

We can solve the inequality 3|x − 8| + 15 = 18 by dissecting the inequality into two: 
3*(x-8) + 15 = 183x - 24 + 15 = 18 x = 9

-3*(x-8) + 15 = 18-3x  + 24 + 15 = 18x = 7
answer hence is C. 
calculista

we have

[tex] 3|x - 8| + 15 = 18 [/tex]

Solve

[tex] 3|x - 8| + 15 = 18 [/tex]

Subtract [tex] 15 [/tex] both sides

[tex] 3|x - 8| + 15-15 = 18-15 [/tex]

[tex] 3|x - 8|= 3[/tex]

Divide by [tex] 3 [/tex] both sides

[tex] |x - 8|= 1[/tex]

[tex] (x - 8)=(+/-) 1[/tex]

First case

[tex] (x1 - 8)= 1[/tex]

[tex] x1=1+8=9[/tex]

Second case

[tex] (x2 - 8)= -1[/tex]

[tex] x2=-1+8=7[/tex]

therefore

the answer is the option

x = 7 x = 9

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