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?\n|x|f(x)|\n|4|5|\n|5|2|\n|6|5|\n|6|6|\n|8|8|\n|9|7|\n|10|18|\n14\n20\n45\n54

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?\n|x|f(x)|\n|4|5|\n|5|2|\n|6|5|\n|6|6|\n|8|8|\n|9|7|\n|10|18|\n14\n20\n45\n54

Answer

Explanation:

Step1: Substitute f(x) value

Given (f(x)=1.8x - 5.4) and (f(x) = 30), we substitute (f(x)) into the equation: (30=1.8x - 5.4).

Step2: Isolate the term with 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).

Step3: Solve for x

Divide both sides by 1.8: (x=\frac{35.4}{1.8}\approx19.67\approx20).

Answer:

20