Chapter 8.3, Problem 40HP

(a)

To determine

To calculate: To make a scatter plot of the ordered pairs (term number, term) and to find if points line on same line

Answer to Problem 40HP

Thescatter plot is drawn, and all points lie on same line

Explanation of Solution

Given information: Arithmetic sequence is $3,10,17,24,31,38$

Formula Used:

Arithmetic sequence is a sequence in which difference between the terms is common

Calculation:

Sequence is given as follows:

  $3,10,17,24,31,38$

Set of ordered pairs (term number, term) is given as

  $\left(1,3\right),\left(2,10\right),\left(3,17\right),\left(4,24\right),\left(5,31\right),\left(6,38\right)$

Plotting the points on graph

  

All the points lie on the same line.

Conclusion:

Hence, the scatter plot is drawn, and all points lie on same line

(b)

To determine

To calculate: To find in which quadrant would this graph makes sense

Answer to Problem 40HP

The graph will makes send in first quadrant

Explanation of Solution

Given information: Arithmetic sequence is $3,10,17,24,31,38$

Formula Used:

Arithmetic sequence is a sequence in which difference between the terms is common

Calculation:

Sequence is given as follows:

  $3,10,17,24,31,38$

Graph for the above sequence is

  

The graph will makes send in first quadrant

Conclusion:

Hence, the graph will makes send in first quadrant