select the correct answer.\nnikki gathered data about the length of time she spent listening to the radio…

select the correct answer.\nnikki 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:\ny = 0.338x - 1.387.\nbased on the line of best fit, for approximately how many minutes will nikki need to listen to the radio to hear 20 commercials?\na. 10\nb. 55\nc. 63\nd. 72

select the correct answer.\nnikki 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:\ny = 0.338x - 1.387.\nbased on the line of best fit, for approximately how many minutes will nikki need to listen to the radio to hear 20 commercials?\na. 10\nb. 55\nc. 63\nd. 72

Answer

Explanation:

Step1: Substitute y - value

We know $y = 20$ and the equation $y=0.338x - 1.387$. Substitute $y$ into the equation: $20 = 0.338x-1.387$.

Step2: Isolate the term with x

Add 1.387 to both sides of the equation: $20 + 1.387=0.338x$, so $21.387 = 0.338x$.

Step3: Solve for x

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

Answer:

C. 63