For each year, plot a graph showing the percentage decline in the equipment's value compared to year 1.

Steps to Solve

1. Identify Equipment Values The values of the equipment for each year are as follows:

   • Year 1: $200.00
   • Year 2: $164.40
   • Year 3: $141.00
   • Year 4: $117.60
   • Year 5: $102.00
   • Year 6: $94.20

2. Calculate Percentage Decline for Each Year The formula to calculate the percentage decline compared to Year 1 is: $$ \text{Percentage Decline} = \left( \frac{\text{Value in Year 1} - \text{Value in Current Year}}{\text{Value in Year 1}} \right) \times 100 $$

   Now we can calculate for each year:

   • Year 2: $$ \text{Decline} = \left( \frac{200 - 164.40}{200} \right) \times 100 = 17.8% $$
   • Year 3: $$ \text{Decline} = \left( \frac{200 - 141}{200} \right) \times 100 = 29.5% $$
   • Year 4: $$ \text{Decline} = \left( \frac{200 - 117.60}{200} \right) \times 100 = 41.2% $$
   • Year 5: $$ \text{Decline} = \left( \frac{200 - 102}{200} \right) \times 100 = 49% $$
   • Year 6: $$ \text{Decline} = \left( \frac{200 - 94.20}{200} \right) \times 100 = 52.9% $$

3. Compile Results into a List The percentage declines for each year, compared to Year 1, are:

   • Year 2: 17.8%
   • Year 3: 29.5%
   • Year 4: 41.2%
   • Year 5: 49%
   • Year 6: 52.9%

4. Graph the Results To plot the graph, take the percentage declines calculated and label the x-axis as "Years" (Year 2 to Year 6) and the y-axis as "Percentage Decline (%)". Mark each point corresponding to the percentage decline for each respective year.