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. which is the best prediction for the number of pages in a chapter that takes 18 minutes to read? 15 17 19 21 time spent reading pages in a chapter time spent reading (minutes) 10 8 12 11 5 4 26 22 20 17

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. which is the best prediction for the number of pages in a chapter that takes 18 minutes to read? 15 17 19 21 time spent reading pages in a chapter time spent reading (minutes) 10 8 12 11 5 4 26 22 20 17

Answer

Explanation:

Step1: Substitute ( y = 18 ) into the function

Given the function ( y=0.86x - 0.09 ), when ( y = 18 ), we have the equation ( 18=0.86x-0.09 ).

Step2: Solve for ( 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 ). Then divide both sides by ( 0.86 ): ( x=\frac{18.09}{0.86}\approx21 ).

Answer:

21