m2al5princetam
Answered

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

Verified Answer :

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

\(3|x - 8| + 15 = 18\)

Solve

\(3|x - 8| + 15 = 18\)

Subtract \(15\) both sides

\(3|x - 8| + 15-15 = 18-15\)

\(3|x - 8|= 3\)

Divide by \(3\) both sides

\(|x - 8|= 1\)

\((x - 8)=(+/-) 1\)

First case

\((x1 - 8)= 1\)

\(x1=1+8=9\)

Second case

\((x2 - 8)= -1\)

\(x2=-1+8=7\)

therefore

the answer is the option

x = 7 x = 9

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