Math Problem Statement
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.40 + 300t ≥ 850 B.40t – 300 ≥ 850 C.300 + 40t ≥ 850 D.300t + 40t ≥ 850
Solution
We are tasked with finding the inequality that can be solved to determine how many weeks Ricky must save in order to afford a video camera costing $850.
Here's a breakdown:
- Ricky has $300 already.
- He saves an additional $40 per week.
- The total amount he needs is $850.
The inequality should represent the sum of his initial amount ($300) and the additional savings per week ($40 times the number of weeks, t), which needs to be at least $850.
This leads us to the equation:
This represents the total amount Ricky will have after saving for t weeks, which should be greater than or equal to $850.
The correct inequality is:
Would you like me to show the step-by-step solution for solving this inequality, or do you have any other questions?
Here are 5 related questions:
- How would you solve the inequality to find the value of ?
- What would the inequality look like if Ricky saved $50 per week instead?
- If the camera cost $950, how would the inequality change?
- How many weeks would Ricky need if he had only $200 saved initially?
- What if Ricky increased his weekly savings by $10 after 5 weeks?
Tip: When dealing with inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
Linear inequality: 300 + 40t ≥ 850
Theorems
Basic properties of inequalities
Suitable Grade Level
Grades 6-8