A scientist conducting an experiment creates a table to record the growth of two plants. The scientist uses the equations below to represent the growth of the plants, where w is the number of weeks of plant growth and h is the height of the plant in inches.
Plant 1: 1.75 + one-half w = h
Plant 2: 1.75 + three-fourths w = h
Which describes the difference in the heights of the two plants in week 5?
Plant 1 is 1.25 inches taller than Plant 2.
Plant 2 is 1.25 inches taller than Plant 1.
Plant 1 is 1.75 inches taller than Plant 2.
Each plant is 1.75 inches tall.
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Plant 2 is 1.25 inches taller than Plant 1 in WK5 if Plant 1: 1.75 + w/2 = h and Plant 2: 1.75 + 3w/4 = h
Given:
- Equations to represent the growth of the plants
- Plant 1: 1.75 + w/2 = h
- Plant 2: 1.75 + 3w/4 = h
To Find:
- Difference in the heights of the two plants in week 5
Solution:
Step 1:
Substitute w = 5 in 1.75 + w/2 = h to find height of plaint 1 in Wk 5
h = 1.75 + 5/2
h = 1.75 + 2.5
Step 2:
Substitute w = 5 in 1.75 + 3w/4 = h to find height of plaint 2 in Wk 5
h = 1.75 + 3(5)/4
h = 1.75 + 15/4
h = 1.75 + 3.75
Step 3:
Find the difference in Plant 2 and Plant 1 height
1.75 + 3.75 - (1.75 + 2.5)
= 1.25
Hence Plant 2 is 1.25 inches taller than Plant 1.
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