Nara got two new plants for her apartment. Each plant grew at a constant rate. The height (in centimeters) of the first plant as
a function of time (in days since Nara got it) is given by the following table of values: \text{Time}Timestart text, T, i, m, e, end text (days) \text{Height}Heightstart text, H, e, i, g, h, t, end text (centimeters) 101010 343434 151515 363636 202020 383838 The graph of the height (in centimeters) of the second plant as a function of time (in days since Nara got it) is shown below. Which plant was taller when Nara got the plants?
1 answer:
Answer:
They were equally tall
Step-by-step explanation:
First plant
Time (days) Height (cm)
10 34
15 36
20 38
Using the first two points we can compute the slope (m) as follows:
m = (y2 - y1)/(x2 - x1) = (36 - 34)/(15 - 10) = 0.4
Using the first point and the slope, we can compute the y-intercept (b) as follows:
y1 = m*x1 + b
b = 34 - 0.4*10 = 30 cm
The graph of the height (in centimeters) of the second plant as a function of time (in days since Nara got it) is shown in the figure attached. We can see that its y-intercept is 30 cm.
In this context, y-intercept is the height of the plant when Nara got them.
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