Answer:
Hope this helps, sorry for my horrible handwriting. If you have any questions feel free to ask me!
Step-by-step explanation:
Ou should not increase to more than 12 miles next week<span>; ... </span>25 miles<span> a </span>week<span>, usually a 7 </span>milerun<span> ... before I </span>run<span> a half. Using that method</span>
Answer:
y = -1/2x + 2
Step-by-step explanation:
Given the following points on the line:
(0, 2) and (6, -1)
We need to find the slope of the line using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (0, 2)
(x2, y2) = (6, -1)
Plug these values into the slope-formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 2) / (6 - 0)
m = -3 / 6
m = -1/2
Therefore, the slope of the line is -1/2.
Next, we need to find the <em>y-intercept</em> of the line. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. If you look at the graph, you'll see that the line crosses the y-axis at point (0, 2), which happens to be one of the points we used earlier. The y-coordinate of (0, 2) is the y-intercept.
Therefore, the y-intercept (b) = 2.
We can write the linear equation as follows:
y = -1/2x + 2
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
1/5 of 120 is 24
1/3 of 120 is 40
3/10 of 120 is 36
120-24-40-36 =20
20/120 = 1/6
1/6 is covered with sprinkles.
