Question
4) Jerome has read 50 pages of a novel. He plans to read a certain number of pages, \( p \), each day from Monday to Friday. Which inequality shows that Jerome wants to have read at least 85 pages by the end of the day on Friday? \( 50+5 p \geq 85 \) \( 50+5 p \leq 85 \) \( 5(50+p) \geq 85 \) \( 5(50+p) \leq 85 \)
Ask by Lambert Mullins. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct inequality is \( 50 + 5p \geq 85 \).
Solution
To determine the correct inequality, let's break down the problem:
1. **Initial Pages Read:** Jerome has already read **50 pages**.
2. **Daily Reading Plan:** He plans to read **\( p \) pages** each day from **Monday to Friday**, which is **5 days**. Therefore, the total pages he will read in these 5 days is **\( 5p \)**.
3. **Total Pages by Friday:** The sum of the pages he has already read and the pages he plans to read over the 5 days is:
\[
50 + 5p
\]
4. **Desired Outcome:** Jerome wants to have read **at least 85 pages** by the end of Friday. This means the total pages should be **greater than or equal to 85**:
\[
50 + 5p \geq 85
\]
**Therefore, the correct inequality is:**
\[
50 + 5p \geq 85
\]
**Answer:**
\( 50+5 p \geq 85 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Jerome's reading goal is straightforward! He starts with 50 pages and aims to have at least 85 pages by Friday, which means he should add a total of at least \( 85 - 50 = 35 \) pages over the week. Since he reads for 5 days, the inequality to express this would be \( 50 + 5p \geq 85 \), ensuring he reaches his target! As a tip, when tackling inequalities like this, always remember to isolate the variable first! In this case, if Jerome wants to know how many pages per day he needs to read, rearranging the inequality to solve for \( p \) can be super helpful. This way, he can figure out exactly how much reading he needs to fit into his daily routine.
