To solve this problem, we need to substitute [tex]\( t = 4 \)[/tex] into the function [tex]\( d(t) = 12t + 20 \)[/tex].
Step-by-step:
1. Start with the function [tex]\( d(t) = 12t + 20 \)[/tex].
2. Substitute [tex]\( t = 4 \)[/tex] into the function: [tex]\( d(4) = 12 \cdot 4 + 20 \)[/tex].
3. Simplify the expression: [tex]\( 12 \cdot 4 = 48 \)[/tex].
4. Add the constant: [tex]\( 48 + 20 = 68 \)[/tex].
Therefore, [tex]\( d(4) = 68 \)[/tex].
This means that after 4 hours, Joanna has cycled 68 miles.
So, the correct answers to the blanks are:
1. [tex]\( d(4) = 68 \)[/tex]
2. After 4 hours
3. Joanna has cycled 68 miles