In his science experiment, Yuri measured the temperature of a water sample as 24 degrees Celsius. To determine 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 of the following is a correct step Yuri should take 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].

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 substitute [tex]$24$[/tex] for [tex]$C$[/tex]. This shows that the statement "Substitute 24 for [tex]$C$[/tex]" is correct.

Next, we perform the multiplication first:

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

Then, we add [tex]$32$[/tex]:

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

This confirms that multiplying [tex]$C$[/tex] by [tex]$\frac{9}{5}$[/tex] before adding [tex]$32$[/tex] is the correct order of operations. Hence, the option "Multiply the value of [tex]$C$[/tex] by [tex]$\frac{9}{5}$[/tex] before adding [tex]$32$[/tex]" is also correct.

Finally, since our calculation shows that:

[tex]$$
24^\circ C = 75.2^\circ F,
$$[/tex]

the statement "[tex]$24^\circ C$[/tex] is [tex]$75.2^\circ F$[/tex]" is correct.

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

So, the correct choices are options 2, 4, and 5.