Answer:
n -8.2 = 2.3(t -1)
Step-by-step explanation:
You are given definitions for the variables t and n, along with two data points:
(t, n) = (1, 8.2) and (5, 17.4)
The slope of the line between these points is ...
m = (y2 -y1)/(x2 -x1)
m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3
The equation can be written in point-slope form as ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
n -8.2 = 2.3(t -1) . . . . a linear model describing the data
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Additional comment
If we eliminate the parentheses and add 8.2, we get the point-slope equation ...
n = 2.3t +5.9
