A poll estimates that 43% of likely voters are in favor of additional restrictions on teenage drivers. The poll has a margin of error of plus or minus 4%. Write and solve an absolute value equation to find the minimum and maximum percent of voters that actually support the restrictions.
Post a New Question Current Questions
Homework Help: math
Posted by Laila on Wednesday, September 28, 2011 at 11:56pm.
A poll estimates that 43% of likely voters are in favor of additional restrictions on teenage drivers. The poll has a margin of error of plus or minus 4%. Write and solve an absolute value equation to find the minimum and maximum percent of voters that actually support the restrictions
To find the minimum and maximum percent of voters that actually support the restrictions, we need to consider the margin of error. The margin of error is plus or minus 4%, which means that the estimated percentage of 43% can be off by a maximum of 4%.
Let's use the absolute value equation to represent this scenario:
Let "x" represent the actual percentage of voters in favor of additional restrictions on teenage drivers.
According to the given information, the estimated percentage is 43% (or 0.43), and the margin of error is plus or minus 4% (or 0.04).
The minimum and maximum values can be represented as follows:
Minimum value:
x = 0.43 - 0.04
Maximum value:
x = 0.43 + 0.04
Simplifying these equations, we have:
Minimum value:
x = 0.39
Maximum value:
x = 0.47
Therefore, the minimum percentage of voters in favor of additional restrictions is 39%, and the maximum percentage is 47%.