IM 6.7.12 Practice: Constructing the Coordinate Plane

Draw and label an appropriate pair of axes and plot the points.

Diego was asked to plot these points: [math]\left(-50,0\right),\left(150,100\right),\left(200,-100\right),\left(350,50\right),\left(-250,0\right)[/math]. What interval could he use for each axis? Explain your reasoning.

Name 4 points that would form a square with the origin at its center.

Graph these points to check if they form a square.

Which of the following changes would you represent using a negative number? Explain what a positive number would represent in that situation.

An elevation above sea level A gain of 50 yards A loss of $10 A loss of 4 points

Explain what a positive number would represent in that situation.

Jada is buying notebooks for school. The cost of each notebook is $1.75.

Write an equation that shows the cost of Jada’s notebooks, [math]c[/math], in terms of the number of notebooks, [math]n[/math], that she buys.

Which of the following could be points on the graph of your equation?

[math]\left(9,15.35\right)[/math] [math]\left(1.75,1\right)[/math] [math]\left(17.59,10\right)[/math] [math]\left(5,8.75\right)[/math] [math]\left(2,3.50\right)[/math]

A corn field has an area of 28.6 acres. It requires about 15,000,000 gallons of water. About how many gallons of water per acre is that?

50,000 5,000 500,000 5,000,000

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