<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Hey there!
To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15
Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100
Now, cross multiply and solve for x:
1500=60x
x=25
Therefore, your discount would be 25%.
Hope this helps and have a marvelous day! :)
Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be 
. If you meant 
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of , then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:
Use reciprocal rule for exponents to get rid of the negative:
just means 
:
.
Answer:
m = 0.75
Step-by-step explanation:
16 x 2m = 4x8 - 8
32m = 24
m = 24/32
