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Alexandra has $15 to buy drinks for her friends at the baseball game. Soda
costs $2.75 and bottled water costs $2.00. This relationship can be
represented by the inequality 2.75s +2w S 15. Three of Alexandra's friends
asked for water. Which inequality represents the number of sodas she can
buy?

Respuesta :

boujeekimi

Answer:

2.75s + 2w ≤ 15  

3 waters  

2.75s + 2(3) ≤ 15  

2.75 + 6 ≤ 15  

Subtract 6 from both sides  

2.75s ≤ 9  

Divide both sides by 2.75  

s ≤ 3.27  

since you can't by a negative amount of soda  

0 ≤ s ≤ 3.27  

But you also can't buy part of a soda  

0 ≤ s ≤ 3 <------

Hope this helps?

Inequality which represents the number of sodas is 0 ≤ s ≤ 3.

What is Inequality?

  • It is a mathematical tool which is used to compare two numbers or two equations.
  • It is generally denoted by signs, less than (<), less than or equal to (≤), greater than (>) and greater than or equal to (≥).

Given:

Alexandra has $15.

Cost of soda = $2.75

Cost of bottled water = $2.00

2.75s + 2w ≤ 15

Let, number of sodas be s.

number of bottled water be w.

Three Alexandra's friends asked for water.

∴ w = 3

⇒ 2.75s + 2(3) ≤ 15

⇒ 2.75s + 6 ≤ 15

Subtracting 6 from the both sides, we get:

⇒ 2.75s ≤ 15 - 6

⇒ 2.75s ≤ 9

Divide both sides by 2.75, we get:

⇒ s ≤ 9/2.75

⇒ s ≤ 3.27

But the number of sodas (s) should be a whole number and not an integer.

⇒ s ≤ 3

⇒ 0 ≤ s ≤ 3

Therefore, the inequality which represents the number of sodas she can

buy is 0 ≤ s ≤ 3.

Learn more about the Inequality here: https://brainly.com/question/26837070

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