To determine how many hours it will take Natalie to replace 8 cell phone screens, we will use the given equation for time:
[tex]\[ t = 1 + 3x \][/tex]
Here, [tex]\( t \)[/tex] is the time in hours, and [tex]\( x \)[/tex] is the number of cell phone screens she is replacing. We're given that Natalie needs to replace [tex]\( x = 8 \)[/tex] screens.
Step-by-step solution:
1. Substitute the given value of [tex]\( x \)[/tex] into the equation:
[tex]\[
t = 1 + 3(8)
\][/tex]
2. Perform the multiplication within the equation:
[tex]\[
t = 1 + 24
\][/tex]
3. Add the numbers together to find the total time:
[tex]\[
t = 25
\][/tex]
So, it will take Natalie 25 hours to replace 8 cell phone screens.
Therefore, the correct answer is:
C) 25
