Answer:
The expression [tex]1.016x[/tex] does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression [tex]1.016x[/tex] represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.
[tex]\text{12 percent increase}=x+\frac{12}{100}x[/tex]
[tex]\text{12 percent increase}=x+0.12x[/tex]
[tex]\text{12 percent increase}=1.12x[/tex]
Since 1.12 is greater than 1.016, therefore, the expression [tex]1.016x[/tex] does not represent a percent increase greater than 12%.
We can rewrite [tex]1.016x[/tex] as:
[tex]1.016x=1x+0.016x=x+0.016x[/tex]
Let us convert [tex]0.016[/tex] to percent by multiplying by 100.
[tex]0.016\times 100\%=1.6\%[/tex]
Since 1.6% is less than 12%, therefore, the expression [tex]1.016x[/tex] does not represent a percent increase greater than 12%.
