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Answered

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Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).

Sagot :

Answer:

See below ~

Step-by-step explanation:

Let :

  • x = people donating $15 when you run
  • y = people donating $25 when you run

Two inequalities created are :

  • 15x + 25y ≥ 1500
  • 3x + 5y ≥ 300 [Simplified] ⇒ Inequality 1
  • x + y ≤ 100 ⇒ Inequality 2

Solving

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  • x + y ≤ 100
  • 15(x) + 25(x) ⩾ $1500

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100

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