Official Solution:If 3 kilometers are equivalent to 1.8 units, which of the following is closest to 4 units?A. \(5 \frac{8}{9} \text{ kilometers}\)
B. \(6 \frac{1}{3} \text{ kilometers}\)
C. \(6 \frac{3}{4} \text{ kilometers}\)
D. \(6 \frac{5}{6} \text{ kilometers}\)
E. \(7 \frac{2}{3} \text{ kilometers}\)
Given that 3 kilometers are equivalent to 1.8 units, then \(\frac{3}{1.8}\) kilometers are equivalent to 1 unit.
To find the kilometer equivalent of 4 units, we can multiply the equivalent of 1 unit in kilometers by 4. That is:
\(\frac{3}{1.8} * 4 = \frac{12}{1.8} = \frac{20}{3} = 6 \frac{2}{3} = 6.66...\).
Comparing this result to the given options, we find that it is closer to \(6 \frac{3}{4} = 6.75\) than to \(6 \frac{1}{3} = 6.33...\). Therefore, the answer is \(6 \frac{3}{4}\), which is option C.
Answer: C