Final answer:
The tree will reach a height of 48 feet after 22 years. Calculation involves solving the equation 1.5x + 15 = 48. Proportions can be used in various scenarios to find actual distances or adjust quantities.
Step-by-step explanation:
To determine after how many years the tree will be 48 feet tall, we need to set the given height function equal to 48 and solve for x:
1.5x + 15 = 48
Subtract 15 from both sides:
1.5x = 33
Divide by 1.5 to solve for x:
x = 22
Therefore, the tree will be 48 feet tall after 22 years.
To address some of the proportions related to different contexts provided in the reference:
- For converting from feet to inches, set up a proportion where 12 inches equals 1 foot, and then cross-multiply to find the unknown height.
- When dealing with a scale model or map, you can form a proportion using the scale given and the measurements you have, and then solve for the actual distance or height.
- In recipes or volume conversions, use proportions to adjust quantities as required, like converting cups to quarts or pints to cups.