If y varies directly with x, find the constant of variation with x = 4 and y = -24
2 answers:
Answer:
The constant of variation is -6.
A is correct.
Step-by-step explanation:
If y varies directly with x
y is directly proportional to x.
Equation: y=kx
where, k is constant of proportionality or constant of variation.
At x=4 , y=-24
Substitute x and y into equation and solve for k
Hence, The constant of variation is -6.
You might be interested in
Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,
Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,
ln(2) = 0.06t
t =
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.