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Vadim26 [7]
2 years ago
7

Fill out each diagram to find the cost of 6 bags of popcorn when 4 bags of popcorn is $3. What is the total cost of 6 bags of po

pcorn.
Mathematics
1 answer:
KiRa [710]2 years ago
5 0

Answer:

hope this helps

Step-by-step explanation:

A context is described, and students generate two sets of values. The purpose of this warm-up is to remind students of some characteristics that make a relationship proportional or not proportional, so that later in the lesson, they are better equipped to recognize that a relationship is not proportional and explain why.

The numbers were deliberately chosen to encourage different ways of viewing a proportional relationship. For 20 ounces and 35 ounces, students might move from row to row and think in terms of scale factors. This approach is less straightforward for 48 ounces, and some students may shift to thinking in terms of unit rates.

There are many possible rationales for choosing numbers so that size is not proportional to price. As long as the numbers are different from those in the “proportional” column, the relationship between size and price is guaranteed to be not proportional. Look for students who have a reasonable way to explain why their set of numbers is not proportional, like “the unit price is different for each size,” or “each size costs a different amount per ounce.”

Ask students to remember the last time they went to the movies. What do they know about the popcorn for sale? What sizes does it come in? About how much does it cost? Tell students that in this activity, they will come up with prices for different sizes of popcorn—one set of prices in which the price is in proportion to the size, and another set of prices in which the price is not in proportion to the size, but is still reasonable. Ask students to be ready to explain the reasons they chose the numbers they did.

Arrange students in groups of 2. Give 2 minutes of quiet work time and then invite students to share their sentences with their partner, followed by whole-class discussion.

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

Complete one column of the table with prices where popcorn is priced at a constant rate. That is, the amount of popcorn is proportional to the price of the bag. Then complete the other column with realistic example prices where the amount of popcorn and price of the bag are not in proportion.

volume of popcorn (ounces) price of bag, proportional ($) price of bag, not proportional ($)

10 6 6

20    

35    

48  

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Answer & Explanation:

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A new car loses value at a constant rate. You purchase a new car for $21,500. After 3 years the value of the car was $14,120. Wh
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Answer:

Step-by-step explanation:

If the car is depreciating at a constant rate, this indicates that the function is linear.  We can find the equation for the linear function by first finding the slope of the line.  Let's do that using the slope formula.  The coordinates we will use to do this are found in (year, value).  Our coordinates are (0, 21500) and (3, 14120).  The first coordinate says that before any time goes by at all, meaning when the car was brand new, its value was 21500.  The second coordinate says that after 3 years, the value of the car was 14120.

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Filling in:

m=\frac{14120-21500}{3-0}=\frac{-7380}{3}=-2460

This is the slope.  In the context of our problem, it means that for each year that goes by, the car's value goes down $2460.  

Now we can use that slope and one of our coordinates to write the equation of the line.   We can choose either one of the coordinates to write our equation.  Let's use the first one, since it will be easier.  Rest assured that regardless of which one you choose, you will get the same equation. We fill in the slope-inteercept form of a line, y = mx + b, where y is the y value from the coordinate, m is the slope we solved for, x is the x value from the same coordinate, and b is the y-intercept.  We are solving for b.

21500 = -2460(0) + b and

21500 = 0 + b so

b = 21500.  Our equation, then, is

y = -2460x + 21500

If we want to find the value of the car, y, in 5 years, x, we plug in 5 for x and solve for y.

y = -2460(5) + 21500 and

y = -12300 + 21500 so

y = $9200

That means that in 5 year the car will be worth only $9200 when it is 5 years old.

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3 years ago
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vodka [1.7K]

Answer:

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The difference between twice a number and 2
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Answer:

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This question is confusing. Please help me!
patriot [66]

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

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So Sara received 2.5 * 196

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