Solve.
-As Sunee improves her algebra skills, she takes 0.9 times as long to complete each homework assignmentas she took to complete the preceeding assignment. If it took her 55 minutes to complete her firstassignment, find how long it took her to complete the fifth assignment. Find the total time she took tocomplete her first five homework assignments. (Round to the nearest minute.)
A)36 min; 225 min
B)32 min; 225 min
C)36 min; 189 min
D)32 min; 189 min

Question

Quizplus · Accepted Answer

The time taken to complete each assignment is 0.9 times the time taken to complete the previous assignment. So, the time taken to complete the second assignment is 0.9 * 55 = 49.5 minutes, the time taken to complete the third assignment is 0.9 * 49.5 = 44.55 minutes, the time taken to complete the fourth assignment is 0.9 * 44.55 = 40.095 minutes, and the time taken to complete the fifth assignment is 0.9 * 40.095 = 36.0855 minutes. Rounding to the nearest minute, it took her 36 minutes to complete the fifth assignment. The total time she took to complete her first five homework assignments is 55 + 49.5 + 44.55 + 40.095 + 36.0855 = 225.236 minutes. Rounding to the nearest minute, it took her 225 minutes to complete her first five homework assignments.

Solve. -As Sunee Improves Her Algebra Skills, She Takes 0.9 Times