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

t = 10

Step-by-step explanation:

Proportions

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

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

Solving for k:

Thus, the proportional relationship is:

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

Multiplying by 2:

Taking the square root:

The positive value of t is:

t = 10

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

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step-by-step explanation: