Question

1. an electronic device may fail outside of its operating temperature range of 0°c to 35°c.

a) write an inequality that represents the possible operating temperatures in degrees farenheit. use the formula $f = \frac{9}{5}c + 32$.
b) describe a situation when the electronic device will not work.

Explanation:

Step1: Convert lower Celsius limit

Substitute $C=0$ into $F=\frac{9}{5}C + 32$:
$F=\frac{9}{5}(0) + 32 = 32$

Step2: Convert upper Celsius limit

Substitute $C=35$ into $F=\frac{9}{5}C + 32$:
$F=\frac{9}{5}(35) + 32 = 63 + 32 = 95$

Step3: Write Fahrenheit inequality

Define $F$ as operating temp in °F:
$32 \leq F \leq 95$

Step4: Describe non-working scenario

Identify temps outside the valid range.

Answer:

a) $32 \leq F \leq 95$
b) The electronic device will not work if the temperature is below 32°F (0°C), such as being left in an unheated freezer during a cold winter, or above 95°F (35°C), such as being left in a closed car on a hot summer day.