When Bill bought a marigold plant, it was 1 1/4
inch tall. After the first week, it measured 2 inches tall. After the second week, it was 2 3/4
inches. After week 3, it was 3 1/2 inches tall.

Respuesta :

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Step-by-step explanation:  Let's come up with points that would be on the graph of a str. line:

(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).

Assume that this is a line, a str. line, and not a curve.  

The slope of this line is

       1 11/12 - 1 1/12

m = ------------------------ = 10/12, or 5/6.

              2 - 1

We now have the slope and y-intercept:  slope = m = 5/6; intercept = 1/4.

The line is then    y = (5/6)x + 1/4.

To answer this question, substitute 4 for x and calculate y:

  y = (5/6)(4) + 1/4 = 20/6 + 1/4   =  40/12 + 3/12   =   43/12 inches.

That's 3 7/12 inches.

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