Here the topic is "functions." Roughly speaking, we have a box. Input enters at one end and output exists at the other. Now, if every input value x (such as 2) is doubled by the box, every output value is 2x: (0,0), (1,2), (2,4), etc.
We call this "doubling" a "constant rate of change.
If you plot the points given, you'll see that they all are on a straight line. That straight line has the slope 2: y = 2x. Again, 2 is the "constant rate of change" here.
If you drive at a steady 55 mph, you are covering 55 miles during every hour behind the wheel. Again, 55 is a "constant rate of change."
Answer:
68 years old
Step-by-step explanation:
Answer:
<u>x= -7 , y= 9</u>
Steps:
4x+3y=-1
5x+4y=1
First, multiply the top equations by -5, and the bottom by 4 to get :
-20x-15y=5
20x+16y=4
Then, you’re going to add the two equations with them being on top of each other so you can easily see what cancels out :
-20x-15y=5
+ 20x+16y=4
———————
0+1y=9
From this, you get :
y=9
Now that you have one variable, find x by substituting 9 for y in one of the equations, I choose :
4x+3y=-1
So :
4x+3(9)=-1
Then simplify by multiplying 3 and 9 :
4x+27=-1
Then subtract 27 on each side :
4x=-28
Then, divide by 4 to get that :
x= -7
Hope this helps!!
A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus. A shortage will exist at any price below equilibrium, which leads to the price of the good increasing. For example, imagine the price of dragon repellent is currently $6 per can.
It is 50% because it is half of the total