Determine the constant of proportionality in each of the representations below.

The constant of proportionality, k is 15

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities.

Proportional quantities can be described by the equation y = kx, where k is a constant ratio.

Here, "x" is the number of tickets and "y" is the number of dollars.

k = 30/2 = 15/1 or 15

k = 15

k = 60/ 4 = 30/2 = 15/1 or 15

k = 15

k = 90/6 = 30/2 = 15/1 0r 15

k = 15

When we take the ratio of x and y for all the given values, we get an equal value for all the ratios.

Therefore, the constant of proportionality, k is 15

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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step-by-step explanation: