If y is directly proportional to (x+5) and y = 6 when x = - 3 , find y when x =16.
If y is directly proportional to (x+5), it means that y = k(x+5) for some constant k.
To find the value of k, we can use the given information that y = 6 when x = -3.
Plug in these values into the equation: 6 = k(-3+5)
Simplify: 6 = 2k
Solve for k: k = 6/2 = 3
Now that we have the value of k, we can use it to find y when x = 16.
Plug in x = 16 and k = 3 into the equation: y = 3(16+5)
Simplify: y = 3(21) = 63
Therefore, when x = 16, y = 63.
To solve this problem, we can use direct proportionality formula:
y = k(x + 5)
Given that y = 6 when x = -3, we can substitute these values into the equation to find the value of k:
6 = k(-3 + 5)
6 = k(2)
k = 6/2
k = 3
Now that we know the value of k, we can substitute it into the equation and solve for y when x = 16:
y = 3(16 + 5)
y = 3(21)
y = 63
Therefore, when x = 16, y = 63.
To find the value of y when x = 16, we can use the concept of direct proportionality. In this case, we are told that y is directly proportional to (x+5), which can be represented by the equation y = k(x+5), where k is the constant of proportionality.
To find the value of k, we can use the given information. We know that when x = -3, y = 6. Substituting these values into the equation, we get:
6 = k(-3+5)
6 = k(2)
Now we can solve for k by dividing both sides of the equation by 2:
k = 6/2
k = 3
Now that we have determined the value of k, we can use it to find y when x = 16. Substituting these values into the equation, we get:
y = 3(16+5)
y = 3(21)
y = 63
Therefore, when x = 16, y equals 63.