*No Links* Anton wants to plant a small orchard of apple trees and cherry trees in his backyard. He has a budget of $1,000, and
his plot has a maximum of 100 square feet. The apple trees he wants cost $40 each and require 5 square feet. The cherry trees he wants cost $50 each and require 4 square feet.
The following first-quadrant graph shows the system of inequalities that represents the situation,
5x+4y≤1005x+4y≤100
40x+50y≤100040x+50y≤1000
with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.
Which combination of trees is a viable solution for this situation?
Group of answer choices There are more than one answer
A) 0 apple trees and 25 cherry trees
B) 24 apple trees and 0 cherry trees
C) 12 apple trees and 6 cherry trees
D) 20 apple trees and 4 cherry trees
E) 14 apple trees and 11 cherry trees
The following first-quadrant graph shows the system of inequalities that represents the situation,
5x+4y≤1005x+4y≤100
40x+50y≤100040x+50y≤1000
with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.
Which combination of trees is a viable solution for this situation?
Group of answer choices There are more than one answer
A) 0 apple trees and 25 cherry trees
B) 24 apple trees and 0 cherry trees
C) 12 apple trees and 6 cherry trees
D) 20 apple trees and 4 cherry trees
E) 14 apple trees and 11 cherry trees
1 answer:
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Answer:
y=x+2
Step-by-step explanation:
To write the equation for this line, we are going to use slope-intercept form, which is written as
y=mx+b.
Here are the meanings of each variable:
y= basically the "name" of the function and it always stays as y.
m= slope, which is rise over run.
x= variable that is always on the right of the slope and it always stays as x.
b= y-intercept, or the value that crosses the y-axis.
We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.
The line crosses the y-axis at 2, so that is our value of b.
Our new equation is
y=mx+2.
Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).
If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is , and we can substitute it into our equation, which is completed and is now
y=x+2
I hope this helps you out!! Have an awesome day ^^