To find the distance traveled after 150 hops, we can use the relationship shown in the ratio table. Let's analyze the statements given.
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Subtract 120 – 75 to get 45, then add that number to 120.
- This method assumes that the distance between 75 and 120 hops is uniform. However, we need to identify the distance per hop to find the distance at 150 hops correctly.
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Add 30 + 75 + 120.
- This does not provide a method to relate the number of hops to distance traveled. Adding those distances does not represent any meaningful calculation based on hops.
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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.
- To find this number, we can say that 150 hops is 3 times 50 hops (150/50 = 3). Then we would multiply the distance traveled for 50 hops, which is 75 ft, by 3. Thus, 75 ft * 3 = 225 ft. This is correct.
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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 divide 75 by that number.
- This is incorrect because we should be multiplying (as determined in the correct method above) rather than dividing.
The correct explanation for finding the distance traveled after 150 hops is the 3rd statement:
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