Sophia College Algebra Unit 2 Milestone 2 Questions And Answers With Updated Solutions

Sophia College Algebra Unit 2 Milestone 2 Questions
And Answers With Updated Solutions

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19


1 ●

The relationship between the actual air temperature x (in degrees
Fahrenheit) and the temperature y adjusted for wind chill (in
degrees Fahrenheit, given a 20 mph wind) is given by the
following formula: y = -22 + 1.4x

Estimate the actual temperature if the temperature adjusted for
wind chill is -15 degrees Fahrenheit.



5 degrees Fahrenheit
#




● -25 degrees Fahrenheit


● -15 degrees
Fahrenheit




● -5 degrees Fahrenheit

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RATIONALE

The temperature adjusted for wind chill is given
by this equation. The wind chill is -15 degrees,
so substitute this value for y.

Once y is replaced by -15, we can solve for x.
First, add 22 to both sides to undo the -22.

On the left side, we will now have 7 because -
15 plus 22 equals 7. On the right side, we are
left with 1.4x. To isolate x, divide both sides by
1.4.

7 divided by 1.4 is equal to 5. The actual
temperature is 5 degrees.



CONCEPT
→ Isolating Variables

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2●

Solve the following absolute value inequality:

|x – 12| ≥ 7



5 ≤ x ≤ 19
●



x ≤ 5 or x ≥ 19
#



x ≤ -19 or x ≥ -5

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●



-19 ≤ x ≤ -5
●



RATIONALE




The inequality |x – 12| ≥
≥ ≤

≥




≥
≤




≤


≥ ≤ ≥




CONCEPT
→ Absolute Value Inequalities