Question

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. 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 less the first day than Jen read.
D) The reading rate each day for Jen and Ariel is the same.

Answer 1

b

Explanation:

Answer 2

Option B is the correct answer.

Explanation:

Jen decides to read 100 pages the first day and 50 pages each day thereafter.

Number of pages read by Jen per day = 50

Number of pages read by Jen on first day = 100

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.

Number of pages read by Ariel per day = 40

Number of pages read by Ariel on first day = 40 + 80 = 120

Option A:

Jen reads 20 pages per day more than Ariel

Wrong

Option B:

Ariel reads 10 pages per day less than Jen.

Correct

Option C:

Ariel read 20 pages less the first day than Jen read.

Wrong

Option D:

The reading rate each day for Jen and Ariel is the same.

Wrong

Option B is the correct answer.