College

During his science experiment, Yuri measured the temperature of a water sample as 24 degrees Celsius. To find the temperature in degrees Fahrenheit, he used the formula [tex]F=\frac{9}{5} C+32[/tex], where [tex]F[/tex] is the temperature in degrees Fahrenheit and [tex]C[/tex] is the temperature in degrees Celsius.

Which is a correct step in the process to convert the temperature? Check all that apply.

- Substitute 24 for [tex]C[/tex].
- Add 32 to [tex]C[/tex] before multiplying by [tex]\frac{9}{5}[/tex].
- Multiply the value of [tex]C[/tex] by [tex]\frac{9}{5}[/tex] before adding 32.
- [tex]24^{\circ} C[/tex] is [tex]75.2^{\circ} F[/tex].
- [tex]24^{\circ} C[/tex] is [tex]100.8^{\circ} F[/tex].

Answer :

We start with the conversion formula:

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

Since Yuri measured the temperature as [tex]$24^\circ C$[/tex], we use this value for [tex]$C$[/tex]. This means we substitute [tex]$24$[/tex] for [tex]$C$[/tex], not for [tex]$F$[/tex].

The next step is to multiply the temperature in Celsius by [tex]$\frac{9}{5}$[/tex]:

[tex]$$
24 \times \frac{9}{5} = 43.2.
$$[/tex]

After obtaining [tex]$43.2$[/tex], we add [tex]$32$[/tex] to get the Fahrenheit temperature:

[tex]$$
43.2 + 32 = 75.2.
$$[/tex]

Thus, [tex]$24^\circ C$[/tex] is equal to [tex]$75.2^\circ F$[/tex].

The correct steps are:
1. Substitute [tex]$24$[/tex] for [tex]$C$[/tex].
2. Multiply the value of [tex]$C$[/tex] by [tex]$\frac{9}{5}$[/tex] before adding [tex]$32$[/tex].
3. Recognize that [tex]$24^\circ C$[/tex] is [tex]$75.2^\circ F$[/tex].

The correct answer options are option 2, option 4, and option 5.