To solve the problem, we need to calculate how many miles Joanna has cycled after a certain number of hours and understand the significance of this value.
1. The function [tex]\( d(t) = 12t + 20 \)[/tex] represents the total number of miles Joanna has cycled after [tex]\( t \)[/tex] hours.
2. We need to find [tex]\( d(4) \)[/tex]:
To do this, we substitute [tex]\( t = 4 \)[/tex] into the function:
[tex]\[ d(4) = 12 \cdot 4 + 20 \][/tex]
3. Simplify the expression:
[tex]\[ d(4) = 48 + 20 \][/tex]
[tex]\[ d(4) = 68 \][/tex]
So, [tex]\( d(4) = 68 \)[/tex].
This means that after 4 hours, Joanna has cycled 68 miles.
Now, let’s fill in the blanks with the correct answers:
[tex]\[
d(4) = 68
\][/tex]
This means that after [tex]\[ 4 \][/tex] hours, Joanna [tex]\[ has cycled 68 miles \][/tex].
