Final answer:
To find the height of the plant after certain periods, multiply the weekly growth rate by the number of weeks in each period and then add the product to the plant's initial height. After 12 weeks, the plant will be 39.25 inches, after 2 months it will be 34.25 inches, and after 1 year, it will reach 89.25 inches tall.
Step-by-step explanation:
The question is asking to calculate the height of a plant after certain time intervals given its initial height and growth rate per week. The initial height of the plant is 24.25 inches, and it grows at a rate of 1 1/4 inches per week.
- To find out the height after 12 weeks: Multiply the growth rate per week by 12 and add this to the initial height.
- To get the height after 2 months (8 weeks): Multiply the growth rate by 8 and add it to the initial height.
- To determine the height after 1 year (52 weeks): Multiply the growth rate by 52 and add it to the initial height.
Height after 12 weeks
12 weeks × 1.25 inches/week = 15 inchesHeight after 12 weeks
24.25 inches + 15 inches = 39.25 inches
Height after 2 months (8 weeks)
8 weeks × 1.25 inches/week = 10 inches
24.25 inches + 10 inches = 34.25 inches
Height after 1 year (52 weeks)
52 weeks × 1.25 inches/week = 65 inches
24.25 inches + 65 inches = 89.25 inches