The relationship is linear.
The reason why is because each time x increases by 1, the value of y increases by 3. In other words, the slope is 3 and it is constant no matter what two points you pick
x = input
y = output
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Extra Info:
slope = rise/run
slope = (change in y)/(change in x)
slope = 3/1
slope = 3
The y intercept is (0,6). Think backwards in terms of the pattern going on.
Or you can plug m = 3 and (x,y) = (1,9) into y = mx+b and solve for b to get b = 6
X/2 = 8
▶ ️2 = 8 × X. (transposing X to RHS )
▶️ 2 = 8X
▶ ️X = 8/2. (transposing 2 to RHS )
▶️ X = 4
hence the value of X is 4.
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: 
, where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: 
Taking log on both sides , we get
Hence, he needs to invest the money for 6 years to get atleast £475.
