Jen and Ariel are reading a 400-page novel for their literature class. Jen decides to read 100 pages on the first day and 50 pages each day thereafter. Ariel's progress in 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 compare 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. The reading rate each day for Jen and Ariel is the same
D. Ariel read 20 pages more the first day than Jen read.
D. Ariel read 20 pages more the first day than Jen read.
On the first day, Jen read 100 pages and Ariel read 40(1) + 80 = 120 pages. Therefore, Ariel read 20 more pages than Jen on the first day.
For the following days, Jen reads 50 pages each day while Ariel reads 40 pages each day (the slope of the linear function is 40, representing the daily reading rate). Therefore, Jen reads 10 pages more per day than Ariel. However, the question specifically asks about the daily reading rate, not the total number of pages read, so the correct answer is D.