To find the distance traveled after 150 hops, we can identify the relationship between the number of hops and the distance traveled from the given entries.
Looking closely at the provided data:
- For 20 hops, the distance is 30 ft.
- For 50 hops, the distance is 75 ft.
- For 80 hops, the distance is 120 ft.
- For 150 hops, we need to determine the distance traveled.
We see that the distance increases as the number of hops increases. The relationships can be discussed in terms of ratios. First, we can determine how many hops are between the values we have:
- From 50 hops (75 ft) to 80 hops (120 ft), there is an increase of 30 hops resulting in a distance change of 45 ft (120 - 75).
To find the distance for 150 hops, there is an increase of 70 hops (from 80 hops to 150 hops). We can find the distance gained per hop from the previous values.
As for the correct method from the provided statements:
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Subtracting 120 - 75 gives you the change in distance for the increase from 50 to 80 hops, and adding that to 120 would help to find increments based on the 80 hops, eventually leading to the distance needed.
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Adding 30 + 75 + 120 doesn’t relate directly to the number of hops and gives no new meaningful distance.
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The best option is: "Find a number that when multiplied by 50 (the number of hops in the 2nd row) will give a product of 150 (the number of hops in the 4th row), then multiply 75 by that number." This actually highlights the direct comparison of the distances traveled per increment of hops and maintains the ratio to find out how far the child traveled for a larger number of hops.
Therefore, the correct statement is: Find a number that when multiplied by 50 (number of hops in the 2nd row) will give a product of 150 (number of hops in the 4th row), then multiply 75 by that number.
1 answer