Question

bryan is measuring the growth of a plant for his life science class. at the end of the first week, the plant was 1.5 inches tall. after the second week, it had grown to a height of 3 inches. by week 3, it was 4.5 inches tall. if the plant continues to grow proportionally, what will its height be at the end of week 7? possible points: 7.14 options: 12, 10.5, 9, 7.5

Explanation:

Step1: Find the growth rate per week

First, we find the growth from week 1 to week 3. The height at week 1 is 1.5 inches, at week 3 is 4.5 inches. The time difference is \(3 - 1 = 2\) weeks, and the height difference is \(4.5 - 1.5 = 3\) inches. So the growth rate per week is \(\frac{3}{2}= 1.5\) inches per week.

Step2: Calculate the height at week 7

From week 1 to week 7, the number of weeks passed is \(7 - 1 = 6\) weeks. The initial height at week 1 is 1.5 inches. The total growth in 6 weeks is \(1.5\times6 = 9\) inches. So the height at week 7 is \(1.5+9 = 10.5\) inches.

Answer:

10.5