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:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl