Juan always saves the same amount from his weekly allowance. This table shows how much he has saved in dollars at different times. Time (wk) 3 6 9 12 Amount saved ($) 19 28 37 46 Which equation represents this situation, where x is the time and y is the amount saved?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is D.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The complete question is given below.

The slope of the given equation can be written as,

m = (28-19)/(6-3) = 9/3 = 3

Substituting any one of the points in the equation, then,

y = 3x + c

28 = 3(6) + c

c = 10

Thus, the equation of the given data is y=3x+10.

Now, solving each of the equations to check if we get the given equation,

A.) y + 9 = -3(x + 27)

y + 9 = -3x - 81

y = -3x - 90

B.) y + 46 = 3(x - 12)

y + 46 = 3x - 36

y = 3x - 82

C.) y - 3 = -3(x - 19)

y - 3 = -3x - 22

y = -3x - 19

D.) y - 28 = 3(x-6)

y = 3x - 18 + 28

y = 3x + 10

Hence, the correct option is D.

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