9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
Answer/Step-by-step explanation:
Part A:
The slope of the line showing proportional relationship can be found using any one point, (2, 5), on the line.
Slope = y/x = ⁵/2
Part B:
Abby is wrong. From the graph, we see that the unit rate = 5/2 = 2.5. This implies that beets cost $2.5 per pound.
(x - 14) (x - 2) is the answer.