Question

The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.

Answer 1

Answer:

The simultaneous inequation representing the recomended storage temperature is:

$50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F$

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

$T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F$ (Eq. 1)

Where:

$T_{C}$ - Temperature, measured in Celsius degrees.

$T_{F}$ - Temperature, measured in Fahrenheit degrees.

Lower bound ($T_{C} = 10\,^{\circ}C$)

$T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F$

$T_{F} = 50\,^{\circ}F$

Upper bound ($T_{C} = 13\,^{\circ}C$)

$T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F$

$T_{F} = 55.4\,^{\circ}F$

The simultaneous inequation representing the recomended storage temperature is:

$50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F$