Question

1.3.2 quiz: organizing and analyzing experimental results
time (hours) height (cm)
10 1.2
20 1.5
30 1.8
40 2.1
50 2.4
60 2.8
what is the best inference for the height of the plant after 35 hours?
a. 2.25 cm
b. 1.80 cm
c. 2.10 cm
d. 1.95 cm

Explanation:

Step1: Find the pattern of height - time relationship

We observe that as time increases by 10 hours, height increases by 0.3 cm. From 30 hours to 40 hours, height goes from 1.8 cm to 2.1 cm.

Step2: Calculate the height at 35 hours

The height at 30 hours is 1.8 cm. From 30 - 40 hours, the increase in 10 hours is 0.3 cm. For 5 hours (from 30 to 35 hours), the increase is $\frac{0.3}{10}\times5 = 0.15$ cm. So the height at 35 hours is $1.8+0.15 = 1.95$ cm.

Answer:

D. 1.95 cm