"A school club hoped to raise more than $3000 for cancer research. A local organization donated $800, and the remainder of donations came from students. Every time a student donated $40, they would get to pie a math teacher in the face. How many $40-donations would it take for the club to reach or exceed their goal? a) Write an inequality to describe the situation. Define your variable. b) Solve the inequality to determine how many $40-donatiosn it would take for the club to reach or exceed their goal.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Transcription for Educational Website**

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**Problem Statement:**

A school club hoped to raise more than $3000 for cancer research. A local organization donated $800, and the remainder of donations came from students. Every time a student donated $40, they would get to pie a math teacher in the face. How many $40-donations would it take for the club to reach or exceed their goal?

a) Write an inequality to describe the situation. Define your variable.

b) Solve the inequality to determine how many $40-donations it would take for the club to reach or exceed their goal.

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**Instruction for a):**

Define a variable, for example, let \( x \) represent the number of $40 donations made by students. Set up an inequality representing the total amount raised by the donations from both the local organization and the students.

**Instruction for b):**

Substitute the known values into the inequality from part a) and solve for \( x \). 

---
Transcribed Image Text:**Transcription for Educational Website** --- **Problem Statement:** A school club hoped to raise more than $3000 for cancer research. A local organization donated $800, and the remainder of donations came from students. Every time a student donated $40, they would get to pie a math teacher in the face. How many $40-donations would it take for the club to reach or exceed their goal? a) Write an inequality to describe the situation. Define your variable. b) Solve the inequality to determine how many $40-donations it would take for the club to reach or exceed their goal. --- **Instruction for a):** Define a variable, for example, let \( x \) represent the number of $40 donations made by students. Set up an inequality representing the total amount raised by the donations from both the local organization and the students. **Instruction for b):** Substitute the known values into the inequality from part a) and solve for \( x \). ---
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