8. If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
Answer: A
X equals 6.
To find the value of X in the proportion where 5 is to 30 as X is to 1, we can set up the equation 5/30 = X/1. Solving for X gives us X = 6.
A) 6
This option is correct because if we simplify the ratio 5 to 30, we find that it is equivalent to the ratio of 1 to 6. Thus, when X equals 6, the relationship holds true.
B) 5.5
This option is incorrect as substituting 5.5 into the proportion does not maintain the equality. The ratio would not simplify to match the original 5 to 30 relationship.
C) 5
Choosing 5 fails to satisfy the proportion since 5/30 simplifies to 1/6, not 5/1. Therefore, this option does not maintain the required equivalence in the ratio.
D) 4.5
This option is also incorrect because using 4.5 in the equation would not yield a correct proportion. The ratio 4.5 to 1 does not equate to the simplified ratio of 5 to 30.
Conclusion
The correct answer, 6, satisfies the established ratio of 5 to 30, confirming that X must be equal to 6 to maintain proportionality. All other options fail to preserve this relationship, making them invalid.