A small plant is 2 1/2 inches tall. How tall will it be in 3 weeks if it grows 3/4 inches each week?
To find out how tall the plant will be in 3 weeks, we need to multiply the growth rate per week (3/4 inches) by the number of weeks (3 weeks) and add it to the current height (2 1/2 inches).
First, let's convert the height of the plant from a mixed number to an improper fraction:
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Now, calculate the total growth in inches over 3 weeks:
(3/4 inches/week) * 3 weeks = 9/4 inches
Finally, add the total growth to the current height of the plant:
5/2 inches + 9/4 inches = (10/4 inches + 9/4 inches) = 19/4 inches
The plant will be 19/4 inches tall in 3 weeks.