Mark and Sandy are participating in a Bike-a-Thon for charity. Mark oversleeps, so Sandy gets a one hour head start and bikes at a speed of 12 miles per hour. To catch up to Sandy, Mark decides that he needs to bike at a speed of 15 miles per hour.
3.An expression that represents Mark's journey is 15(t-1)
What does the coefficient 15 describe
It describes how much mph Mark goes
What does (t-1) represent?
I'm not sure how to explain
The expression 15(t-1) represents Mark's journey in the Bike-a-Thon, where t represents the time it takes for Mark to catch up to Sandy. In this expression, the coefficient 15 is multiplied by (t-1). The coefficient of 15 describes how fast Mark is biking, specifically 15 miles per hour.
Now, let's focus on (t-1). Here, t represents the time it takes for Mark to catch up to Sandy. Since Sandy had a one-hour head start, Mark's time, t, will represent the time it takes for him to equalize the distance with Sandy.
The subtraction of 1 from t in (t-1) indicates that Mark's journey starts one hour later than Sandy's. It represents the time difference between Mark and Sandy's start times. So, when t=1 in the expression, it means Mark will have been biking for one hour, which aligns with Sandy's total biking time. Hence, (t-1) represents the time duration that Mark has been biking while attempting to catch up with Sandy.