The 8th Grade wants to raise money for a field trip that costs $800. 15 students are in charge of fundraising. What is the minimum amount of money they each have to raise to achieve their goals (if they each raise the same amount of money)?

$54.35

Step-by-step explanation:

If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:

15*X

And the minimum amount they need to collect is $800

Then we will have the inequality:

15*X ≥ $800

Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:

(15*X)/15 ≥ $800/15

X ≥ $54.33...

Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.

Then the inequality is:

X ≥ $54.35

This means that the minimum amount that each one of the 15 students needs to collect is $54.35

Step-by-step explanation:

If you look at the graph you see that:

before 0, the graph has same y as it has x, or y=x.

after 0, the graph starts at 4, and increases by 1 every 2 steps horizontally, or has a slope of 1/2.

Finally, the 0 has to be included in the blue part of the graph based on where the solid dot is.