**Title: Understanding Savings and Linear Functions**David wants to save $700 to buy a TV. He saves $18 each week. The amount $ A $, in dollars, that he needs after $ w $ weeks is given by the following function:\[ A(w) = 700 - 18w \]**Problem 1:**If David still needs $394, how many weeks has he been saving?**Solution Approach:**Set $ A(w) = 394 $ and solve for $ w $.\[ 394 = 700 - 18w \]**Problem 2:**How much money does he still need after 7 weeks?**Solution Approach:**Insert $ w = 7 $ into the equation and solve for $ A(w) $.\[ A(7) = 700 - 18 \times 7 \]**Explanation:**This function represents a simple linear relationship. Each week, David reduces the amount he needs by $18. The graph of this function would show a straight line with a negative slope, starting at $700 when $ w = 0 $ and decreasing thereafter.

Name: **Title: Understanding Savings and Linear Functions**David wants to s
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: **Title: Understanding Savings and Linear Functions**David wants to save $700 to buy a TV. He saves $18 each week. The amount $ A $, in dollars, that he needs after $ w $ weeks is given by the following function:\[ A(w) = 700 - 18w \]**Problem 1