Question17. Apply Wath Models The temperature at noon in Miami Beach was $90^{\circ} \mathrm{F}$ . The semperature then changed $Z^{\circ}$ Fer hour for the next 7 hours. The expression $90-|-2 \cdot 7|$ represents the current temperature. a. Is the current temperature higher or lower than $90^{\circ} \mathrm{F}$ ? b. What is the current temperature?

Studdy Solution

STEP 1

1. The initial temperature at noon is $90^\circ \text{F}$ .
2. The temperature changes $Z^\circ$ per hour for 7 hours.
3. The expression $90 - |-2 \cdot 7|$ represents the current temperature.

STEP 2

1. Interpret the expression to determine if the temperature is higher or lower than $90^\circ \text{F}$ .
2. Calculate the current temperature using the given expression.

STEP 3

Interpret the expression $90 - |-2 \cdot 7|$ .
The expression inside the absolute value is $-2 \cdot 7$ , which equals $-14$ .
The absolute value of $-14$ is $14$ .

STEP 4

The expression $90 - 14$ indicates a decrease in temperature.
Thus, the current temperature is lower than $90^\circ \text{F}$ .

STEP 5

Calculate the current temperature using the expression $90 - 14$ .
Subtract $14$ from $90$ to find the current temperature: $90 - 14 = 76$ .
The answers are: a. The current temperature is lower than $90^\circ \text{F}$ . b. The current temperature is $76^\circ \text{F}$ .

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