Question

Which of the following could be the distances on Allyson's map? Choose 3 answers: A. Bangalore to Mumbai: 116.5 cm, Mumbai to Delhi: 174 cm B. Bangalore to Mumbai: 42.25 cm, Mumbai to Delhi: 58 cm C. Bangalore to Mumbai: 23.4 cm, Mumbai to Delhi: 29 cm D. Bangalore to Mumbai: 16.9 cm, Mumbai to Delhi: 23.2 cm E. Bangalore to Mumbai: 25.35 cm, Mumbai to Delhi: 34.8 cm

Answer 1

Main Answer:

The distances on Allyson's map could be represented by options B, C, and E:

B. Bangalore to Mumbai: 42.25 cm, Mumbai to Delhi: 58 cm

C. Bangalore to Mumbai: 23.4 cm, Mumbai to Delhi: 29 cm

E. Bangalore to Mumbai: 25.35 cm, Mumbai to Delhi: 34.8 cm.

Step-by-step explanation:

To determine the possible distances on Allyson's map, we need to consider the relative proportions between the distances. The key is to observe the ratios between the distances from Bangalore to Mumbai and Mumbai to Delhi. If these ratios match, the representation is accurate. Options B, C, and E exhibit consistent ratios, making them plausible representations of the distances on the map.

In more detail, we can calculate the ratios for each option:

- Option B:
`\( (42.25)/(58) \approx (23.4)/(29)`

- Option C:
`\( (23.4)/(29) \approx (42.25)/(58) \)`

- Option E:
`\( (25.35)/(34.8) \approx (23.4)/(29) \)`

These consistent ratios suggest that the depicted distances are in proportion, making these three options viable representations of the map. It is essential to ensure that the chosen representation maintains the same ratio for accuracy in representing the actual distances between locations.