Question

A science class starts an experiment with 3 plants that are each 2.5 cm tall. They provide all of the needs of the plant and
track their growth. Plant A was 23.5 cm tall after two weeks. What was the average rate
of change in inches per day of Plant A?

Answer 1

Answer 67

Step-by-step explanation:65:&:8/&/&&:

Answer 2

Average rate of change in height will be 0.59 inch per day.

Linear equations and their applications,

• Linear equation consist of one or two variables with highest degree as 1.

Experiment with plants started with,

• 3 plants of 2.5 cm height.
• Plant A was 23.5 cm tall after 2 weeks.

Let the variable defining change in the height per day of the plant = x

Change in the height of plant A after 2 weeks or 14 days = 14x cm

Height of the plant A initially = 2.5 cm

Height of the plant after 2 weeks = 14x + 2.5

If height of the plant A after 2 weeks = y

Linear equation defining the height of the plant after 2 weeks will be,

y = 14x + 2.5

Plant A is 23.5 cm tall after 2 weeks,

23.5 = 14x + 2.5   [Substitution of y = 23.5]

23.5 - 2.5 = 14x + 2.5 - 2.5

21 = 14x

x = 1.5 cm

Since, 1 cm = 0.393701 inches

Therefore, 1.5 cm = 1.5 × 0.393701

                             = 0.591

                             ≈ 0.59 inches per day

      Hence, average rate of change in the height of plant A will be 0.59 inches per day.

Learn more about the linear equations here,

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