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stepan [7]
3 years ago
5

Aubrey buys 2 souvenirs during each day of vacation. Write an equation that shows the relationship between the days of vacation

x and the number of souvenirs bought y.
Write your answer as an equation with y first, followed by an equals sign.
Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

2X = Y

Step-by-step explanation:

To determine the equation that will allow to establish the amount of souvenirs bought by Aubrey (Y), taking into account that for each day of vacation (X) buys 2 souvenirs, the following must be taken into account:

The number of days (X) must be multiplied by 2. Thus, if you buy 2 souvenirs per day and your vacation lasts 4 days, you will have bought 8 souvenirs (4 x 2). Thus, the value of Y is equal to 2X, that is:

2X = Y

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Given g(x)=5x+4, solve for x when g(x)=9
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Answer:

The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

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Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 5x + 4

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<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Substitute in function value:                                                                           9 = 5x + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                       5 = 5x
  3. [Division Property of Equality] Divide 5 on both sides:                                1 = x
  4. Rewrite:                                                                                                            x = 1

∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.

---

Topic: Algebra I

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