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.
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To find the answer, we need to compare the rate at which Jen and Ariel are reading the book each day.
Jen reads 100 pages the first day and then 50 pages each day thereafter. So her reading rate is constant at 50 pages per day.
Ariel's progress is represented by the linear function y = 40x + 80, where x is the number of days. This means that every day, Ariel's reading rate increases by 40 pages.
Therefore, Ariel's reading rate is increasing every day, while Jen's reading rate stays constant.
Based on this information, the statement that BEST compares Jen's reading rate each day to Ariel's daily reading rate is:
B. Ariel reads 10 pages per day less than Jen.