<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.
Answer:
b=44
b=44 - 9
b=44 + 5
x+x+x = 44
x + (x-9) + (x+5) = 44
3x - 4 = 44
+4
3x =48
÷3
x=16
So, first photo contains 16 birds.
x=16
(x-9) - - > 16-9 = 7
(x+5) - - >16+5=21
16 + 7 + 21 =44
Answer is 16 birds in first photo
Hope this helps!
Answer:
Answer:
Option B is correct.
Step-by-step explanation:
We will compare the interest earned by both.
Tasha: p = $5000
r = 6% or 0.06
n = 1
So, Amount after a year will be = = $5300
And amount the next year with p = 5300: 5300*1.06= $5618
Additional $5000 at 8%
Here the amount will be = =5400
Next year amount with p = 5400 : 5400*1.08 = $ 5832
Amount in total Tasha will have in 2 years = 5618+5832 = 11450
Thomas:
p = 10000
r = 7% or 0.07
n = 1
After a year the amount will be = =$10700
Amount Next year with p = 10700 : 10700*1.07 = $11449
*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.
So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
The two numbers are both -15
-15 x -15= 225
-15+ -15= -30
Answer:
200 people
Step-by-step explanation:
Let: the number of people who surveyed be: x
Therefore, (160/x) x 100=80%
=> x=(160x100)/80
=>x=16000/80
=>x= 200
Thus, 200 people surveyed.
Mark as brainliest