Answer:
A. [tex] y = \frac{8}{5}x [/tex].
B. 115.2 ft
Step-by-step explanation:
a. First, we need to find slope of the graph, m, and y-intercept, b.
Then substitute each value of m and b into the equation of the graph, in slope-intercept form, given as y = mx + b.
Using the points in the graph, (0, 0) and (5, 8), calculate the slope using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Thus,
[tex] m = \frac{8 - 0}{5 - 0} = \frac{8}{5} [/tex]
Slope (m) = ⁸/5 or 1.6
The y-intercept, b, is the point where the line intercepts the y-axis, therefore, b = 0.
Substitute m = ⁸/5 and b = 0 into y = mx + b.
[tex] y = \frac{8}{5}x + 0 [/tex]
The equation that represents the graph in slope-intercept form is [tex] y = \frac{8}{5}x [/tex].
b. To determine the distance (y), Kirk would have walked after 72 secs (x), substitute x = 72 into [tex] y = \frac{8}{5}x [/tex].
[tex] y = \frac{8}{5}72 [/tex].
[tex] y = \frac{8*72}{5} = 115.2 ft [/tex].
