Question

question 5
if the line of best fit is ( y = 200x + 500 ), how many followers should the host expect after releasing 15 episodes?
2500
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3500
question 6
the equation of the line of best fit is approximately ( y = 164x + 494 ). a different podcast that follows the same general pattern from the scenario has 3,100 followers. about how many episodes have been released? round to the nearest whole number.

Explanation:

Step1: Substitute the value of \(y\)

Given the equation \(y = 164x+494\), and \(y = 3100\). Substitute \(y = 3100\) into the equation: \(3100=164x + 494\).

Step2: Solve for \(x\)

First, subtract \(494\) from both sides: \(3100 - 494=164x\), so \(2606 = 164x\). Then, divide both sides by \(164\): \(x=\frac{2606}{164}\approx15.9\).

Step3: Round to the nearest whole number

Since \(15.9\approx16\) (rounding to the nearest whole number).

Answer:

\(16\)