The City youth fund can be the range of $53-dollars (depending on region/graph) but no higher than $115.
Educational youth fund will be as low as $160, but no higher than $345.
Given;
Total amount Rachel will donate to charity = $460
The amount donate in city youth fund denoted by = x
And the amount donate in the educational growth foundation is denote by = y
The question states "up to $460" in charity, which means it can be less than or equal to 460, but not any higher.
Then,
$460 to charity (max)
According to the question ;
Amount donate in city youth fund + amount donate in educational growth foundation = total amount donate in the charity
x + y = 460 .
And, he amount donated to the Educational Growth Foundation to be at least three times the amount donated to the City Youth Fund.
y ≥3x
Putting the value of y in the equation
x + y = 460
x + 3x = 460
4x = 460
x = [tex]\frac{460}{4}[/tex]
x = 115.
This means when she donates $115 to City youth fund .
Then she will donate
3x = (3) (115) == $345 to Educational Growth foundation .
These are the max values; she will not donate higher than $460.
A minimum requirement was placed on Educational earlier.
When y = 160, x will be
= [tex]\frac{y}{3}[/tex]= $53.34
This means she donated 213.34, which is still less than $460.
Therefore, x (which is City youth fund) can be the range of $53 dollars (depending on your region/graph) but no higher than $115.
y (which is Educational growth fund) will be as low as $160, but no higher than $345.
For more information about the linear equation click the link given below. https://brainly.com/question/11897796
