A cartographer constructs a quantitative dot map to represent the distribution of livestoc… — JAMB UTME

A cartographer constructs a quantitative dot map to represent the distribution of livestock across a region. On the map, a total of $64$ dots represent a total population of $160,000$ sheep. If Province X has a sheep population of $35,000$ , how many dots should be plotted to represent Province X on this map?

Answer: 14 dots

Answer

14 dots are required to represent Province X.

To find the dot count for Province X, first determine the scale value of a single dot:

\frac{160,000\text{ sheep}}{64\text{ dots}} = 2,500\text{ sheep per dot}

. Next, divide the population of Province X by the dot value:

\frac{35,000\text{ sheep}}{2,500\text{ sheep/dot}} = 14\text{ dots}

Step-by-Step Solution

Determine the quantity represented by one dot.

Each dot represents

2,500

sheep.

Dividing the overall sheep population (

160,000

) by the total number of dots (

64

) establishes the dot value.

Calculate the number of dots for Province X.

14 dots.

Dividing the provincial population (

35,000

) by the single-dot value (

2,500

) yields the exact number of dots required for visual representation.

Key Concept

Dot Map Scale and Quantifier Calculation

Question

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Step-by-Step Solution

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