IM 6.6.16 Practice: Two Related Quantities, Part 1

Here is a graph that shows some values for the number of cups of sugar, [math]s[/math], required to make [math]x[/math] batches of brownies.[br][br][img]data:image/png;base64,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[/img]
Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.
What does the point [math](8,4)[/math] mean in terms of the amount of sugar and number of batches of brownies?
Write an equation that shows the amount of sugar in terms of the number of batches.
Each serving of a certain fruit snack contains 90 calories.
Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, [math]c[/math], in terms of the number of servings, [math]n[/math].[br]
Tyler needs some extra calories each day during his sports season. He wants to know how many servings he can have each day if all the extra calories come from the fruit snack. Write an equation that shows the number of calories, [math]c[/math], in terms of the number of servings, [math]n[/math].[br]
Kiran shops for books during a 20% off sale.
What percent of the original price of a book does Kiran pay during the sale?[br]
Complete the table to show how much Kiran pays for books during the sale.
Write an equation that relates the sale price, [math]s[/math], to the original price [math]p[/math].
Create a graph showing the relationship between the sale price and the original price by plotting the points from the table.
Evaluate the expression when x is 4 and y is 6.
[math]\left(6-x\right)^3+y[/math]
[math]2+x^3[/math]
[math]2^x-2y[/math]
[math]\left(\frac{1}{2}\right)^x[/math]
[math]1^x+2^x[/math]
[math]\frac{2^x}{x^2}[/math]
Find [math]\left(12.34\right)\cdot\left(0.7\right)[/math]. Show your reasoning.
For each expression, write another division expression that has the same value and that can be used to help find the quotient. Then, find each quotient.
[math]302.1\div0.5[/math]
[math]12.15\div0.02[/math]
[math]1.375\div0.11[/math]
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Information: IM 6.6.16 Practice: Two Related Quantities, Part 1