Chapter 4.4, Problem 1MP

(a)

To determine

To graph: The data table for the Keiko’s blog is to be constructed and ordered pairs from the table are to be sketch on a graph.

Explanation of Solution

The function that models the number of subscribers to Keiko’s blog is,

  $K=m^2+10$

Where,

• K represents the number of subscribers.
• m represents the number of months.

The table is constructed as follows:

m (number of months)	K = m2+10	(m,K)
0	K = 02+10 = 10	(0, 10)
1	K = 12+10 = 11	(1, 11)
2	K = 22+10 = 14	(2, 14)
3	K = 32+10 = 19	(3, 19)
4	K = 42+10 = 26	(4, 26)

The ordered pairs are:

  $\left(0,10\right),\left(1,11\right),\left(2,14\right),\left(3,19\right),\left(4,26\right)$

The ordered pairs are plotted on the graph as follows:

  

(b)

To determine

To graph: The ordered pairs for the Jayden’s blog are to be sketch on a graph.

Explanation of Solution

The data table foe the Jayden’s blog is,

  

From the data table, the ordered pairs are represented as follows:

m (number of months)	K (number of subscribers)	m, (ordered pair)
0	48	(0, 48)
1	56	(1, 56)
2	64	(2, 64)
3	72	(3, 72)
4	80	(4, 80)

The ordered pairs are:

  $\left(0,48\right),\left(1,56\right),\left(2,64\right),\left(3,72\right),\left(4,80\right)$

The ordered pairs are plotted on the graph as follows: