Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $1

Question

2 years ago

6

Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $1

5 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).

Mathematics

2 answers:

yarga [219] · Answer 1 · 2023-07-19T09:19:47+03:00

yarga [219]2 years ago

7 0

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

Marrrta [24] · Answer 2 · 2023-07-19T07:02:12+03:00

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