Question

ms. riveras biology class wanted to investigate how the amount of sunlight affects the growth of bean plants. they planted identical bean plants in separate pots and exposed each group to different amounts of sunlight per day: 2 hours, 4 hours, 6 hours, and 8 hours. each week, they measured and recorded the average height of the plants in centimeters over a 5 - week period. below is the line graph showing the average height of plants receiving 6 hours of sunlight per day over the 5 weeks. plant height (cm) vs. week 3. if the growth rate continues, what is the predicted height at week 6? 16.5 cm 15 cm 18 cm 19.5 cm

Explanation:

Step1: Determine growth rate

From the graph for 6 - hour sunlight plants, assume linear growth. In 5 weeks, if we can estimate the height change. Let's assume at week 1 the height is around 3 cm and at week 5 it is around 15 cm. The growth in 4 weeks is \(15 - 3=12\) cm. So the average weekly growth rate \(r=\frac{12}{4}=3\) cm per week.

Step2: Predict height at week 6

The height at week 5 is 15 cm. Since the growth rate is 3 cm per week, the predicted height at week 6 is \(h = 15+3=18\) cm.

Answer:

18 cm