Question

length conversion from graph
a student was measuring the height of plants grown with different types of fertilizer or with plain water. he took his measurements using inches, then realized that he needed to use metric units, so he converted his measurements from inches to centimeters. using the graph below, determine the approximate height of plant a in centimeters.

plant	measurement in inches	measurement in centimeters
b	5	?
c	7.2	?
d	2	?

graph: relationship between inches and centimeters, x - axis (inches: 0, 3, 6, 9, 12), y - axis (centimeters: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30), line from (0, 0) to (9, ~27)

Explanation:

Step1: Find the conversion rate from the graph

From the graph, when inches = 9, centimeters ≈ 27. So the conversion rate (centimeters per inch) is $\frac{27}{9} = 3$. This means 1 inch = 3 centimeters.

Step2: Convert plant A's height

Plant A's height is 12 inches. To convert to centimeters, multiply by the conversion rate: $12 \times 3 = 36$.

Answer:

36