This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution to the problem: Malafola's jogging distances are given for three days. We need to find the pattern to predict the distance for Thursday. Step 1: List the distances jogged and find the differences between consecutive days. • Monday: (1)/(2) km • Tuesday: (1)/(2) km • Wednesday: (3)/(4) km Difference from Monday to Tuesday: (1)/(2) - (1)/(2) = 0 km Difference from Tuesday to Wednesday: (3)/(4) - (1)/(2) = (3)/(4) - (2)/(4) = (1)/(4) km Step 2: Identify the pattern in the differences. The difference in distance increased from 0 km (Monday to Tuesday) to (1)/(4) km (Tuesday to Wednesday). This means the increase in distance itself is increasing by (1)/(4) km each day. Step 3: Apply the pattern to find the distance for Thursday. Following the pattern, the increase in distance from Wednesday to Thursday should be (1)/(4) km more than the increase from Tuesday to Wednesday. Increase for Wednesday to Thursday = (Increase from Tuesday to Wednesday) + (1)/(4) km Increase for Wednesday to Thursday = (1)/(4) km + (1)/(4) km = (2)/(4) km = (1)/(2) km Now, add this increase to Wednesday's distance to find Thursday's distance: Thursday's distance = Wednesday's distance + Increase Thursday's distance = (3)/(4) km + (1)/(2) km Thursday's distance = (3)/(4) km + (2)/(4) km Thursday's distance = (5)/(4) km Thursday's distance = 1(1)/(4) km Malafola will jog (5)/(4) km or 1(1)/(4) km on Thursday. That's 2 down. 3 left today — send the next one.