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OpenStax, Algebra and Trigonometry 2e §4.2 Modeling with Linear Functions · Exercise 4 · Algebra · Graphs

Modeling with Linear Functions · Exercise 4

Graph and interpret applications of slope–intercept form of a linear function.

Cassandra is a botanist who is studying the growth of pea plants under a variety of conditions. One experiment yields the following results. For a seedling starting off at 3 inches the growth rate each week 1.25 inches.
ⓐWrite a height function, H(t), which will give the plant height as a function of time in weeks, t.
ⓑ Estimate the plant height for each of the following amounts of time paying attention to units provided.


ⓒ Her plants will need to be secured to a stick when they reach 12 inches in height. Estimate the time when her samples will need to be secured.
ⓓ Graph the function below. Be sure to show the scale you are using.

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OpenStax, Algebra and Trigonometry 2e · §4.2 Modeling with Linear Functions · Exercise 4

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