Math

QuestionAt noon, the temperature was 17F-17^{\circ} \mathrm{F} and changed to 15F-15^{\circ} \mathrm{F}. Was it warmer or colder?

Studdy Solution

STEP 1

Assumptions1. The initial temperature is 17-17^{\circ} \mathrm{} . The final temperature is 15-15^{\circ} \mathrm{}

STEP 2

We need to compare the initial and final temperatures to determine if the temperature increased or decreased.Initialtemperature<FinaltemperatureInitial\, temperature < Final\, temperature

STEP 3

Now, plug in the given values for the initial and final temperatures.
17<15-17^{\circ} \mathrm{} < -15^{\circ} \mathrm{}

STEP 4

This inequality tells us that 17-17^{\circ} \mathrm{} is colder than 15-15^{\circ} \mathrm{}.

STEP 5

Since the temperature went from 17-17^{\circ} \mathrm{} to 15-15^{\circ} \mathrm{}, it means the temperature increased, not decreased.
The statement "The temperature decreased, because 17-17^{\circ} \mathrm{} is warmer than 15-15^{\circ} \mathrm{}." is false. The temperature actually increased, because 17-17^{\circ} \mathrm{} is colder than 15-15^{\circ} \mathrm{}.

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