Final answer:
To find the number of days it took for the tree to grow to 65 cm, we can set up an equation using the formula for growth rate. By substituting the given values and solving the equation, we find that it took 24 days for the tree to grow to 65 cm.
Step-by-step explanation:
To write the equation, we can use the formula:
Height of the tree = Initial height + (Growth rate × Number of days)
Using the given information, we can substitute the values:
65 cm = 5 cm + (2.5 cm/day × Number of days)
Now, we can subtract 5 cm from both sides:
60 cm = 2.5 cm/day × Number of days
Finally, we can divide both sides by 2.5 cm/day to isolate the variable:
Number of days = 60 cm ÷ 2.5 cm/day
Simplifying the expression gives:
Number of days = 24