Question

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).

Answer 1

See below ~

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

Answer 2

• 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