Question

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

Explanation:

Step1: Substitute given value into equation

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

Step2: Isolate the variable term

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 by $0.86$: $x=\frac{18.09}{0.86}\approx21$. But we need to check the closest value among the options. The closest value to our calculated result among the options is 19.

Answer:

C. 19