Lesson 17

Here is a graph that shows some values for the number of cups of sugar, \(s\), required to make \(x\) batches of brownies.

1. Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.

   \(x\)	1	2	3	4	5	6	7
   \(s\)

2. What does the point \((8,4)\) mean in terms of the amount of sugar and number of batches of brownies?
3. 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.

1. Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, \(c\), in terms of the number of servings, \(n\).
2. 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 servings, \(n\), in terms of the number of calories, \(c\).

Kiran shops for books during a 20% off sale.

Evaluate each expression when \(x\) is 4 and \(y\) is 6.

1. \((6-x)^3+y\)

2. \(2 + x^3\)

3. \(2^x-2y\)

4. \(\left(\frac{1}{2}\right)^x\)

5. \(1^x + 2^x\)

6. \(\frac{2^x}{x^2}\)

Find \((12.34) \boldcdot (0.7)\). 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.

1. \(302.1 \div 0.5\)

2. \(12.15 \div 0.02\)

3. \(1.375 \div 0.11\)