Introduction to Mathematics: Study Questions
EC1000 Study Questions
SPRING 2013
Introduction to mathematics
1. (a) The population of Mountainland was 45.7million in 2008 and 46.3 million in 2009. What was the percentage change (rate of growth) in population from 2008 to 2009? (b) The rural population of Mountainland was 18.3 million in 2008 and 17.7 million in 2009. What was the percentage change? (c) The data below show Mountainland’s real GDP (real output produced) for the period 2008-2010. Calculate the rate of growth in real GDP in (i) 2008-9 and (ii) 2009-10.
|Year |Real GDP (in billion $) |
|2008 |5.6 |
|2009 |5.7 |
|2010 |5.5 |
2. You are interested in buying a book that cost £30 but discover that its price has increased by 20%. What is the book’s new price?
3. For each of the following pairs of variables, explain (i) whether there is likely to be a positive or negative relationship between them, and (ii) which is the dependent and which is the independent variable.
(a) income and saving
(b) number of DVDs purchased and price of DVDs
(c) level of salary and number of years of working experience
(d) the temperature and the number of swimmers on the beach
4. The following table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? The vertical intercept? Interpret the meaning of both the slope and the intercept. Write the equation which represents this line. What would you predict saving to be at the $12,500 level of income?
| | |
|Income |Saving |
|(per year)` |(per year) |
| | |
| | |
|$15,000 |$1,000
SPRING 2013
Introduction to mathematics
1. (a) The population of Mountainland was 45.7million in 2008 and 46.3 million in 2009. What was the percentage change (rate of growth) in population from 2008 to 2009? (b) The rural population of Mountainland was 18.3 million in 2008 and 17.7 million in 2009. What was the percentage change? (c) The data below show Mountainland’s real GDP (real output produced) for the period 2008-2010. Calculate the rate of growth in real GDP in (i) 2008-9 and (ii) 2009-10.
|Year |Real GDP (in billion $) |
|2008 |5.6 |
|2009 |5.7 |
|2010 |5.5 |
2. You are interested in buying a book that cost £30 but discover that its price has increased by 20%. What is the book’s new price?
3. For each of the following pairs of variables, explain (i) whether there is likely to be a positive or negative relationship between them, and (ii) which is the dependent and which is the independent variable.
(a) income and saving
(b) number of DVDs purchased and price of DVDs
(c) level of salary and number of years of working experience
(d) the temperature and the number of swimmers on the beach
4. The following table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? The vertical intercept? Interpret the meaning of both the slope and the intercept. Write the equation which represents this line. What would you predict saving to be at the $12,500 level of income?
| | |
|Income |Saving |
|(per year)` |(per year) |
| | |
| | |
|$15,000 |$1,000