Question

D is directly proportional to the square of t. If d=80 when t=4, express d in terms of t.

Answer 1

D is directly proportional to the square of t. To express d in terms of t, use the equation D = kt² and substitute the given values to find the constant of proportionality k.

Step-by-step explanation:

D is directly proportional to the square of t. This can be expressed as D = kt², where k is the constant of proportionality. To find k, use the given information that d = 80 when t = 4. Substitute these values into the equation: 80 = k(4)². Simplify the equation: 80 = 16k. Divide both sides by 16: k = 5. Now we can express d in terms of t: d = 5t².