Attempt following question by selecting a choice to answer.
B
From 1980 to 2000, the price of linseed oil increased by
$2 per gallon per decade. In the year 2000, the price of linseed oil was
$19 per gallon. Write a linear model in
point-slope form for the
price per gallon of linseed oil, p, over the
number of decades t.D BA.
Bp + 19 = 2(
t - 2)
B.
Bp = 19
t + 2
C.
Bp - 19 = 2(
t - 2)
D.
Bp - 19 = 2
t - 2
B
C
Step 3: t = 0 represents the year 1980 and t = 2 represents the year 2000.
Step 4: In the year 2000, the price of linseed oil per gallon was $19.
Step 5: (t1, p1) = (2, 19) is a point on the line whose slope is 2.
Step 2: From the data, slope m = 2.
Step 1: The price of linseed oil per gallon increased by $2 per decade.
Step 6: The equation of the line passing through the point (t1, p1) with slope m in point-slope form is p - p1 = m(t - t1).
Step 7: p - 19 = 2(t - 2) [Substitute t1 = 2, p1 = 19 and m = 2 in the equation.]
Step 8: The linear model in point-slope form for the price of linseed oil over the number of decades is p - 19 = 2(t - 2).