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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 41 Page 42

Express both temperatures using the same unit.

No, because $7 0^{\circ} F$ is greater than $2 0^{\circ} C .$

Practice makes perfect

The given temperatures are in different units. We need to convert one of the temperatures so that both are in the same unit. It does not matter which unit we choose to convert, so let's convert

2 0^{\circ}

Celsius to Fahrenheit.

F = \frac{9}{5} C + 3 2^{\circ}

$C = 2 0^{\circ}$

F = \frac{9}{5} \cdot 2 0^{\circ} + 3 2^{\circ}

MoveRightFacToNum

$\frac{a}{c} \cdot b = \frac{a \cdot b}{c}$

F = \frac{1 8 0 ^{\circ}}{5} + 3 2^{\circ}

Calculate quotient

F = 3 6^{\circ} + 3 2^{\circ}

Add terms

F = 6 8^{\circ}

We know that Thermometer A displays

6 8^{\circ} Fahrenheit .

Thermometer B displays a temperature of

7 0^{\circ} F,

which is greater than

6 8^{\circ} C,

so our friend is incorrect.

Subchapter links

Communicate Your Answer p.35

Monitoring Progress p.36-39

Exercises p.40-42