Lauren modeled the relationship between the number of days $T$ that had passed since she planted a cactus and its height $H$ (in centimeters) as $H=10+2 T$.

She wanted to create a graph to show the cactus's growth in the first month. Here is her work:

What mistakes did Lauren make when drawing the graph?
Choose all answers that apply:

A Inappropriate scale for $x$-axis
B Inappropriate scale for $y$-axis
c. Wrong/missing label for $x$-axis

D Wrong/missing label for $y$-axis
E Lauren didn't make any mistake

Question

Lauren modeled the relationship between the number of days $T$ that had passed since she planted a cactus and its height $H$ (in centimeters) as $H=10+2 T$.

She wanted to create a graph to show the cactus's growth in the first month. Here is her work:

What mistakes did Lauren make when drawing the graph?
Choose all answers that apply:

A Inappropriate scale for $x$-axis
B Inappropriate scale for $y$-axis
c. Wrong/missing label for $x$-axis

D Wrong/missing label for $y$-axis
E Lauren didn't make any mistake

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Review the given information and the graph description provided by the OCR model. ‖ ‖ step 2 ⋮ Analyze the scale of the x-axis and y-axis based on the description and the equation $H=10+2T$. ‖ ‖ step 3 ⋮ Determine if the scale used is appropriate for the range of values that $T$ and $H$ can take based on the equation. ‖ ‖ step 4 ⋮ Check the labels on the x-axis and y-axis to ensure they match the context of the problem. ‖ ‖ step 5 ⋮ Identify any discrepancies between the graph and the equation $H=10+2T$. ‖ ∻[question number] Answer∻ ***E*** ∻Key Concept∻ ⚹Graphing Linear Equations⚹ ∻Explanation∻ ⚹The key concept in graphing a linear equation is to correctly plot the line according to the equation and to use appropriate scales and labels for the axes.⚹◊What is the slope of the line representing the relationship between the number of days passed since planting the cactus and its height?⍭ Generate me a similar question◊

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