The Calef family likes to paddle along the Susquehanna River.a. They paddled the same distance each day over the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram. b. If the Calefs went half their daily distance each day but extended their trip to twice as many days, how far would they travel?

Answers:a. [tex]\frac{14}{3}=4.667[/tex] miles/dayb. 14 milesExplanation:Part a:We are given that they paddled a total distance of 14 miles for 3 days. To get the distance paddled each day, we will divide the total paddled distance by the number of daysThis is done as follows:Distance paddled each day = [tex]\frac{14}{3}=4.667[/tex] miles/dayPart b:Now, we are given that:i. They went half their daily distance:Daily distance = [tex]\frac{1}{2}*\frac{14}{3}=\frac{7}{3}[/tex] miles/dayii. They extended the trip twice as many daysNumber of days = 2 × 3 = 6 daysThe total distance paddled will be equivalent to the product of the distance paddled each day and the total number of daysThis means that:Total distance = [tex]\frac{7}{3}*6=14[/tex] milesHope this helps :)