M partially varies as N and P is constant when M=2,N=3,when M=4,and N=2.find M,when N=1
Sounds like M = aN + P
If so, then using the two points,
3a+P = 2
2a+P = 4
Solve for a and P, and then use them to find M(1)
But just looking, we see that M increased by 2 when N decreased by 1. So, decreasing N again would give M=6
I'll try thanks
To find the value of M when N is 1, we need to understand the relationship between M and N based on the given information.
Let's analyze the given information:
1. "M partially varies as N": This means that M is directly proportional to N, where the value of M changes based on the value of N.
2. "P is constant": This implies that the value of P does not change and does not impact the relationship between M and N.
Now, let's examine the two given scenarios:
1. When M = 2 and N = 3: This gives us the first set of values.
2. When M = 4 and N = 2: This gives us the second set of values.
Key observation: Since P is constant, the change in M depends solely on the change in N.
From the given information, we can set up the proportionality equation:
M1/N1 = M2/N2
Using the first set of values: 2/3 = M2/1
Cross-multiplying: 2 * 1 = 3 * M2
Simplifying: 2 = 3M2
Dividing both sides by 3: M2 = 2/3
So, when N = 1, we can use the same equation:
2/3 = M3/1
Cross-multiplying: 2 * 1 = 3 * M3
Simplifying: 2 = 3M3
Dividing both sides by 3: M3 = 2/3
Therefore, when N = 1, the value of M would be 2/3.