Question

Whats the answer please help im stuck

Answer 1

A.
`y = (8)/(5)x`.

B. 115.2 ft

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,
`m = (y_2 - y_1)/(x_2 - x_1)`.

Thus,

`m = (8 - 0)/(5 - 0) = (8)/(5)`

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.

`y = (8)/(5)x + 0`

The equation that represents the graph in slope-intercept form is
`y = (8)/(5)x`.

b. To determine the distance (y), Kirk would have walked after 72 secs (x), substitute x = 72 into
`y = (8)/(5)x`.

`y = (8)/(5)72`.

`y = (8*72)/(5) = 115.2 ft`.