Answer :
Final answer:
By using properties to rewrite the given equation 2.3p - 10.1 = 6.5p - 4 - 0.01p, it matches the most with option 'c' 230p - 1010 = 650p - 400 - p, on simplification and scaling.
Explanation:
The student asked to use properties to rewrite an equation to match the given 2.3p - 10.1 = 6.5p - 4 - 0.01p. Comparing it to the options, the one that matches, after rearranging is, c. 230p - 1010 = 650p - 400 - p. The other options either do not have the same structure or produce a different value for 'p'
Here's how we match to option 'c': Let's first simplify the original equation by combining like terms: 2.3p + 0.01p - 6.5p = 4 + 10.1. This further simplifies to -4.19p = 14.1. In option 'c', after simplifying we have: 230p - 1010 = 650p - 400 - p. Again by noticing that unit 'p' has become '1p', we can say that the equation -4.19p = 14.1 is equivalent to option 'c', but the scaling factor is 100. Hence, option 'c' is the correct choice.
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