Ricky wants to buy a video camera that costs $850. He already has $300 to spend on it and can afford to save $40 per week towards its purchase. Which of the following inequalities can be solved to find t, the number of weeks that Ricky must save to afford the camera?
A.40t – 300 ≥ 850
B.300 + 40t ≥ 850
C.40 + 300t ≥ 850
D.300t + 40t ≥ 850

Let's break down the problem step by step:

1. The total cost of the video camera is **$850**.
2. Ricky already has **$300** saved.
3. He can save **$40 per week**.

We need to find the number of weeks, **t**, it will take for him to save enough money to buy the camera. To set up an inequality, we know the total amount he has after **t** weeks will be his initial amount ($300) plus the amount he saves weekly ($40 per week).

Thus, the inequality would be:
\[
300 + 40t \geq 850
\]
This represents the sum of his initial savings and the amount he saves over **t** weeks, which must be greater than or equal to $850.

The correct inequality is **B. 300 + 40t ≥ 850**.

Would you like a detailed explanation on how to solve the inequality? Here are 5 related questions:

1. How do you solve the inequality $300 + 40t \geq 850$?
2. What if Ricky can only save $30 per week? How does the inequality change?
3. What if the camera cost was $1000 instead of $850?
4. How would the inequality change if Ricky already had $400 saved?
5. What would the inequality look like if Ricky was saving for multiple items?

**Tip:** When setting up inequalities for real-world problems, always check if you’re adding or multiplying based on whether the amount is a lump sum or a recurring weekly/monthly savings.

Ricky wants to buy a video camera that costs $850. He already has $300 to spend on it and can afford to save $40 per week towards its purchase. Which of the following inequalities can be solved to find t, the number of weeks that Ricky must save to afford the camera?
A. 40t – 300 ≥ 850
B. 300 + 40t ≥ 850
C. 40 + 300t ≥ 850
D. 300t + 40t ≥ 850

Solve the linear inequality 300 + 40t ≥ 850 to find the number of weeks Ricky needs to save $40 per week to buy a camera costing $850, starting with $300. Learn step-by-step algebraic concepts and how inequalities work. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation