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BlackZzzverrR [31]
4 years ago
7

Caleb purchases 5 beach towels for d dollars each. Each towel is charged an additional 6% sales tax.

Mathematics
1 answer:
Assoli18 [71]4 years ago
6 0
The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)

Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.

However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)

Simplifying this, we have 5d+0.3d = 5.3d.

All of the correct answers simplify to this expression.
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This is a bit confusing?
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9514 1404 393

Answer:

  • Noah: 3 cups
  • Lin: 4 cups

Step-by-step explanation:

When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.

There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.

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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.

Lin will use 4 cups of flour for 6 cups of sugar.

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<em>Alternate solution</em>

The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.

Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar

Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar

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