Create an Algebraic Equations for the math problem.

Question

Juan has already run 6 km this month. He plans to run an additional 2.5 km per day. At this rate how long will it take Juan to run 41 km?

Answer 1

if you let "x" represent the number of additional days that he runs you can set up the equation

41 = 6 + 2.5x in order to see how long it would take him to run 41 km

solving that expression algebraically for "x" yields

2.5x = 41 - 6

2.5x = 35

x = 35 / 2.5 = 14 days

Answer 2

x = minimum number of days he must run

2.5x + 6 = 41

x = (41 - 6) / 2.5 days = 14 days