Question

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 )?

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