Jen and Ariel are reading a 400 page novel for their literature class. Jen decides to read 100 pages the first day and 50 pages each day thereafter. Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days thereafter. Which statement BEST compares Jen's reading rate each day to Ariel's daily reading rate?
A. Jen reads 20 pages per day more than Ariel.
B. Ariel reads 10 pages per day less than Jen.
C. Ariel read 20 pages more the first day than Jen read.
D. The reading rate each day for Jen and Ariel is the same.
.
.
To compare Jen's reading rate each day to Ariel's daily reading rate, we need to consider their reading patterns.
Jen reads 100 pages the first day and 50 pages each day thereafter. So, Jen's daily reading rate can be represented by the linear function y = 50x + 100, where y is the total number of pages read after x days thereafter.
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days thereafter.
Comparing the coefficients of the x terms, we can see that Jen reads 50 pages per day whereas Ariel reads 40 pages per day. So, Jen reads 10 pages per day more than Ariel.
Therefore, the correct answer is B. Ariel reads 10 pages per day less than Jen.