the data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes…

the data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. the function y = 0.86x - 0.09 models the data in the table.\ntime spent reading\n|pages in a chapter|time spent reading (minutes)|\n|----|----|\n|10|8|\n|12|11|\n|5|4|\n|26|22|\n|20|17|\nwhich is the best prediction for the number of pages in a chapter that takes 18 minutes to read?\n15\n17\n19\n21

the data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. the function y = 0.86x - 0.09 models the data in the table.\ntime spent reading\n|pages in a chapter|time spent reading (minutes)|\n|----|----|\n|10|8|\n|12|11|\n|5|4|\n|26|22|\n|20|17|\nwhich is the best prediction for the number of pages in a chapter that takes 18 minutes to read?\n15\n17\n19\n21

Answer

Explanation:

Step1: Substitute y - value

We are given the function $y = 0.86x-0.09$ and $y = 18$. Substitute $y = 18$ into the function: $18=0.86x - 0.09$.

Step2: Isolate the term with x

Add 0.09 to both sides of the equation: $18 + 0.09=0.86x-0.09 + 0.09$, which simplifies to $18.09 = 0.86x$.

Step3: Solve for x

Divide both sides of the equation by 0.86: $x=\frac{18.09}{0.86}\approx21$.

Answer:

21