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|\no 14\no 20\no 45\no 54
Answer
Explanation:
Step1: Substitute f(x) value
Given $f(x)=1.8x - 5.4$ and $f(x) = 30$, we substitute $f(x)$ in 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