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The formula [tex]F = \frac{9}{5} C + 32[/tex] converts temperatures from the Celsius scale to the Fahrenheit scale. Find the equivalent Fahrenheit temperature for the Celsius temperature [tex]15^{\circ} C[/tex].

A. [tex]-\ ^{\circ} F[/tex]
B. [tex]40^{\circ} F[/tex]
C. [tex]59^{\circ} F[/tex]
D. [tex]-9^{\circ} F[/tex]

Answer :

We are given the formula for converting Celsius to Fahrenheit:

[tex]$$
F = \frac{9}{5} \times C + 32.
$$[/tex]

To find the Fahrenheit temperature when [tex]\( C = 15^\circ \)[/tex], follow these steps:

1. Multiply by [tex]\(\frac{9}{5}\)[/tex]:

Substituting [tex]\( C = 15 \)[/tex] into the formula, we calculate

[tex]$$
\frac{9}{5} \times 15 = 27.
$$[/tex]

2. Add 32:

Now, add 32 to the product:

[tex]$$
27 + 32 = 59.
$$[/tex]

Thus, the equivalent Fahrenheit temperature is

[tex]$$
59^\circ F.
$$[/tex]

Therefore, the answer is [tex]\(59^\circ F\)[/tex].

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