Y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +

Mathematics

1 answer:

Monica [59]2 years ago

8 0

To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.

For the y-intercept we just find where the line meets the y-axis and that is at 2.

The equation for this graph is y=6x+2

You might be interested in

GEOMETRY HELP ASAP PLEASE

Elden [556K]

(.Y.)

grd

sth

shs

hse

8 0

3 years ago

Given g(x) = −3x + 4

Goshia [24]

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

$g(x) = -3x + 4$

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

$\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}$

Simplify:

$\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}$