The value $V$ of a car, in hundreds of dollars, is given by $V+25 t=300$, where $t$ is the age of of the car. If the car was bought new three years ago, graph the equation and estimate the value of the car four years from now.
Answer
\(\boxed{\text{The current value of the car is \$22500 and the estimated value of the car four years from now is \$12500.}}\)
Step 1 ：Rearrange the equation to solve for \(V\), which gives \(V = 300 - 25t\).
Step 2 ：Substitute \(t = 3\) into the equation to find the current value of the car. This gives \(V = 300 - 25*3 = 225\). So, the current value of the car is \$22500.
Step 3 ：Substitute \(t = 7\) into the equation to find the estimated value of the car four years from now. This gives \(V = 300 - 25*7 = 125\). So, the estimated value of the car four years from now is \$12500.
Step 4 ：Plot the equation \(V = 300 - 25t\) to visualize the depreciation of the car's value over time. The x-axis represents the age of the car in years, and the y-axis represents the value of the car in hundreds of dollars. The graph shows a linear depreciation of the car's value over time.
Step 5 ：\(\boxed{\text{The current value of the car is \$22500 and the estimated value of the car four years from now is \$12500.}}\)
