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9 votes
9 votes
This graph gives the growth of a plant over time.

What is the slope of the line, and what does the slope mean in
this situation?
Select from the drop-down menus to correctly complete the
statement
The slope is Choose
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&
which means that the plant
✓every day
Growth (in.)
10
9
84
7
4
3
(2, 1)
(0,0)0 12
Growth vs. Time
(4,2)
(7,3.5)
Time (days)
9 10
2 3 4
5 6
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AK12

This graph gives the growth of a plant over time. What is the slope of the line, and-example-1
User Dour High Arch
by
2.4k points

2 Answers

23 votes
23 votes

Answer:

the slope is 0.5 which means the plant grows 0.5 inches everyday

Explanation:

i do k12 btw

User Edvard Pedersen
by
2.9k points
17 votes
17 votes

Answer:


\textsf{The slope is $\boxed{(1)/(2)}$ which means that the plant}


\textsf{$\boxed{\sf grows}$ by $\boxed{(1)/(2)\; \sf inch}$ every day}.

Explanation:


\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}

Define two points on the line:

  • Let (x₁, y₁) = (2, 1)
  • Let (x₂, y₂ = (4, 2)

Substitute the defined points into the slope formula to find the slope:


\implies \textsf{slope}\:(m)=(2-1)/(4-2)=(1)/(2)

The slope is the rate at which the plant grows per day.

Solution


\textsf{The slope is $\boxed{(1)/(2)}$ which means that the plant}


\textsf{$\boxed{\sf grows}$ by $\boxed{(1)/(2)\; \sf inch}$ every day}.

User Nuwisam
by
3.1k points