1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow. a. Write the equation for this graph in the form of y = mx + b
b. This function represents an arithmetic sequence. What does the slope represent?
c. Show that this graph can also be represented by the arithmetic sequence equation an = a1 + (n - 1)d.
d. In this case, what is a10?

a.

b. The slope represents the common difference

c.

d.

Step-by-step explanation:

Given:

The graph

Solving (a): The equation

First, we pick any two corresponding points on the graph

Next, we calculate the slope using:

The equation is then calculated as:

Make y the subject

(b) Interpret the slope

In (a) above, the slope is calculated as:

This represents the common difference of the sequence;

(c) Represent as an arithmetic sequence

We have the following points from the graph:

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

--- First Term

--- Difference

The nth term of an AP is:

This gives:

Collect Like Terms

(d) Find a10

To do this, we simply substitute 10 for n in

So, we have:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol