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Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove 15 milligrams
(mg) per square meter of a particular pollutant from the soil in 20 weeks. After 20 weeks, the ferns are harvested and a new crop is planted. If
c represents the number of crops of brake ferns needed to phytoremediate soil contaminated with
170mg per square meter of the pollutant down to healthy levels of
5mg per square meter, which equation best models the situation?
Choose 1 answer:
(A)
170-20 c=5
(B)
170+20 c=5
(C)
170-15 c=5
(D)
170+15 c=5

Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove $15$ milligrams $(\mathrm{mg})$ per square meter of a particular pollutant from the soil in $20$ weeks. After $20$ weeks, the ferns are harvested and a new crop is planted. If $c$ represents the number of crops of brake ferns needed to phytoremediate soil contaminated with $170 \mathrm{mg}$ per square meter of the pollutant down to healthy levels of $5 \mathrm{mg}$ per square meter, which equation best models the situation? $\newline$ Choose $1$ answer: $\newline$ (A) $170-20 c=5$ $\newline$ (B) $170+20 c=5$ $\newline$ (C) $170-15 c=5$ $\newline$ (D) $170+15 c=5$

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Interpret regression lines

Full solution

Q. Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove

15

milligrams

(\mathrm{mg})

per square meter of a particular pollutant from the soil in

20

weeks. After

20

weeks, the ferns are harvested and a new crop is planted. If

c

represents the number of crops of brake ferns needed to phytoremediate soil contaminated with

170 \mathrm{mg}

per square meter of the pollutant down to healthy levels of

5 \mathrm{mg}

per square meter, which equation best models the situation?

\newline

Choose

1

answer:

\newline

(A)

170-20 c=5

\newline

(B)

170+20 c=5

\newline

(C)

170-15 c=5

\newline

(D)

170+15 c=5

Problem Understanding: Understand the problem. We need to find the number of crops $c$ that will reduce the soil contamination from $170\text{mg} \text{per square meter}$ to $5\text{mg} \text{per square meter}$ . Each crop removes $15\text{mg} \text{per square meter}$ of the pollutant in $20$ weeks.
Equation Setup: Set up the equation. The initial contamination is $170\text{mg}$ per square meter, and after each crop, the contamination is reduced by $15\text{mg}$ per square meter. We want to find the number of crops $(c)$ needed to reach the healthy level of $5\text{mg}$ per square meter.
Equation Writing: Write the equation based on the information given. The equation should represent the total reduction after $c$ crops, which is $15\text{mg}$ per crop times the number of crops ( $15c$ ). The equation will be $170\text{mg}$ (initial contamination) minus the total reduction ( $15c$ ) equals $5\text{mg}$ (healthy level).
Correct Equation: The correct equation is $170 - 15c = 5$ . This equation models the situation where the initial contamination level is reduced by $15\text{mg}$ per square meter for each crop of brake ferns until it reaches the healthy level of $5\text{mg}$ per square meter.

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