Question

tegu lizards need several different temperature ranges in their enclosures. for a \basking\ spot, such as under a heat lamp, the temperature should be between 100 and 110 degrees fahrenheit. what is an absolute value equation that could be solved to show the minimum and maximum temperatures for that spot?
○ |110 - x| = 5
○ |x - 105| = 5
○ |x - 5| = 105
○ |x - 100| = 110

question 8
2 points
jermaine is studying absolute value functions, and plans to take a 15 - 20 minute break from studying. which statement about this situation is true?
○ the length of the break time could be modeled as |15 - 20| = x.
○ the minimum and maximum break time could be modeled as |x - 2.5| = 17.5.
○ the length of the break time could be modeled as |20 - 15| = x.
○ the minimum and maximum break time could be modeled as |x - 17.5| = 2.5

Explanation:

First Question

Step1: Find midpoint of temps

$\text{Midpoint} = \frac{100 + 110}{2} = 105$

Step2: Find deviation from midpoint

$\text{Deviation} = 110 - 105 = 5$

Step3: Write absolute value equation

$|x - 105| = 5$

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Second Question

Step1: Find midpoint of break times

$\text{Midpoint} = \frac{15 + 20}{2} = 17.5$

Step2: Find deviation from midpoint

$\text{Deviation} = 20 - 17.5 = 2.5$

Step3: Match to correct equation

$|x - 17.5| = 2.5$

Answer:

$|x - 105| = 5$