the equation for the line of best fit is ( f(x)=1.8x - 5.4 ) for the set of values in the table. using the…
the equation for the line of best fit is ( f(x)=1.8x - 5.4 ) for the set of values in the table. using the equation for the line of best fit, what is a good approximation for ( x ) when ( f(x)=30 )?
Answer
Explanation:
Step1: Substitute ( f(x) = 30 ) into the equation
Given ( f(x)=1.8x - 5.4 ), substitute ( f(x) = 30 ). So we have the equation ( 30=1.8x - 5.4 ).
Step2: Solve for ( x )
Add ( 5.4 ) to both sides of the equation: ( 30 + 5.4=1.8x-5.4 + 5.4 ), which simplifies to ( 35.4 = 1.8x ). Then divide both sides by ( 1.8 ): ( x=\frac{35.4}{1.8}\approx19.67\approx20 ).
Answer:
20