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.
$$\begin{array}{cc}\text{t}& \text{H(t)}\\ \text{7 days}& \\ \text{14 days}& \\ \text{2.5 weeks}& \end{array}$$

ⓒ 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.

Its source prints no answer for this problem, so there's nothing to check against.

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