Question

1. the distance between two cities is 568 km. on a map, the cities are 8 cm apart.

a. what is the scale factor of the map? write as a fraction in lowest terms. (2 marks)
b. on a map, oldetown and newville are 17.2 cm apart. to the nearest tenth, how many kilometers apart are the two towns? (2 marks)

1. john has been tracking his expenses for the past year and has recorded his income and spending averages in the table below. his net monthly income averages $2515.00. (7 marks)

\

$$\begin{tabular}{|l|l|} \\hline expenses & \\\\ \\hline rent & \\$640.00 \\\\ \\hline food & \\$335.00 \\\\ \\hline transportation & \\$315.00 \\\\ \\hline sports & \\$185.00 \\\\ \\hline entertainment & \\$140.00 \\\\ \\hline savings & \\$125.00 \\\\ \\hline clothing & \\$185.00 \\\\ \\hline charitable donations & \\$143.00 \\\\ \\hline other & \\$245.00 \\\\ \\hline \\end{tabular}$$

use these data and the table below to design a conservative budget for john. allocate any surplus income to savings.

Explanation:

Calculate the scale factor of the map

Using the Scale Factor Applications knowledge point

$$
LATEXBLOCK0
$$

Calculate actual distance for 17.2 cm

Using the Scale Factor Applications knowledge point

$$
LATEXBLOCK1
$$

Design a conservative budget for John

Using the Budgeting Concepts knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 10a

The scale factor of the map is:

$$\frac{1}{7,100,000}$$

Question 10b

The two towns are \(122.1\text{ km}\) apart.

Question 11

A conservative budget for John with surplus allocated to savings:

Income	Amount	Expenses	Amount
		Food	\$335.00
		Transportation	\$315.00
		Sports	\$185.00
		Entertainment	\$140.00
		Clothing	\$185.00
		Charitable donations	\$143.00
		Other	\$245.00
		Savings (including surplus)	\$327.00
Total	\$2515.00	Total	\$2515.00