Question

D is directly proportional to t2 When t = 4, D = 8 Find the positive value of t when D = 50

Answer 1

Answer: either 46 or 25 is your answer

Step-by-step explanation: Brainliest pls

Answer 2

Answer:

t = 10

Step-by-step explanation:

Proportions

D is directly proportional to t squared. This can be written as:

$D = kt^2$

Where k is the proportionality constant. It can be calculated by substituting the given condition in the formula, when t=4, D=8:

$8 = k4^2=16k$

Solving for k:

$k=\frac{8}{16}=\frac{1}{2}$

Thus, the proportional relationship is:

$\displaystyle D = \frac{1}{2}t^2$

When D=50, the value of t can be found by solving for t:

$\displaystyle 50 = \frac{1}{2}t^2$

Multiplying by 2:

$t^2=100$

Taking the square root:

$t=\sqrt{100}$

The positive value of t is:

t = 10