Question

A thermometer has a percent error of 3%. The actual temperature is 75°F.
The thermometer is likely to show the temperature is either.....

Answer 1

well, we know that 75F is 100%
what is 3% of 75 then?

so, the thermometer will show +THAT MUCH or -THAT MUCH
since that's the error ratio

so \(\bf \begin{array}{ccllll}
amount&\%
\\\hline\\
75&100\\
x&3
\end{array}\implies \cfrac{75}{x}=\cfrac{100}{3}\impliedby \textit{solve for }x\)

Answer 2

x=2.25?

Answer 3

yeap so, 2.25 is 3% of 75F
so the thermometer will show \(\bf 75 \pm 2.25\)
or 72.75 or 77.25

Answer 4

THANK YOU ^_^

Answer 5

yw