Question

select the correct answer. nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. she organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. then she used the graphing tool to find the equation of the line of best fit: y = 0.338x - 1.387. based on the line of best fit, for approximately how many minutes will nikki need to listen to the radio to hear 20 commercials? a. 10 b. 55 c. 63 d. 72

Explanation:

Step1: Substitute y - value

We know \(y = 20\) in the equation \(y=0.338x - 1.387\), so we get \(20 = 0.338x-1.387\).

Step2: Isolate the term with x

Add 1.387 to both sides of the equation: \(20 + 1.387=0.338x\), which simplifies to \(21.387 = 0.338x\).

Step3: Solve for x

Divide both sides by 0.338: \(x=\frac{21.387}{0.338}\approx63.28\).

Answer:

C. 63