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? 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 - value
We are given the function $y = 0.86x-0.09$ and $y = 18$. Substitute $y = 18$ into the equation: $18=0.86x - 0.09$.
Step2: Isolate the term with x
Add 0.09 to both sides of the equation. So, $18 + 0.09=0.86x-0.09 + 0.09$, 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