First options are 88963268second options are cycling at a speed of 4 mph a four hour break4 hours cycling 4 miles Third options are rode for 32 hours total cycled 88 miles totaltook a 96 minute break cycled 68 miles total

From the question, we have:
• The function, d(t), represents the total number of miles Joanna has cycled.
,• The variable, t, represents the number of hours after stopping for a break during her ride.
If t = 4, then Joanna stopped for 4 hours for a break during her ride.
If we substituted the value of t = 4 into the function, d(t), we have:
[tex]d(4)=12\cdot4+20\Rightarrow d(4)=48+20\Rightarrow d(4)=68[/tex]Then, we have that Joanna has cycled 68 miles.
Therefore, we have that (according to the directions in the question):
So, d(4) = 68. This means that after a four-hour break, Joanna cycled 68 miles in total.