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Introduction to Economics

383-101-DW

Assignment 1 Assignment #1: Basic Math

Question 1 – Functions

Using the information in Figure 1A.5 below, answer the following questions:

A. Express the relationship between the Rate of Interest and the level of investment using functional notation.

B. Express the relationship in figure 1A.5 using the explicit linear form: Y = a + bX

C. Is there a direct or an inverse relationship between the rate of interest and the level of investment?

Question 2 - Percentages

The table below contains data on total income and government soending for a hypothetical

economy for 1985, 1990, 1995, 2000, 2005, 2010 and 2011.

A. Calculate the percentage change in total income from 1985 to 1990, from 1990 to 1995,

from 1995 to 2000, and 2005 to 2010.

B. Calculate the total income in 2005 and 2011.

C. Express government spending as a percentage of total income for the years 1985,

1990, 1995, 2000, and 2005.

D. Calculate government spending for the years 2010 and 2011.

Introduction to Economics

383-101-DW

Assignment 1 Year Total Income % Change Government

Spending

Government

Spending as % of

Total Income

1985 12 400 000 ---- 3 500 000

1990 15 000 000 3 750 000

1995 20 500 000 5 637 000

2000 24 900 000 5 851 500

2005 15% 5 851 500

2010 32 071 000 18%

2011 1.5% 17%

Question 3 – Graphs Draw the following functions on Graph 1 below:

A. Y = 11 – 1 X B. Y = 2 + 0.5 X C. Y = 5

Graph I

12

11

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8