Linear Situation
A catering company charges $15.00 per guest and a flat rate of $100.00 to cater a luncheon.
Table
1. Complete the table below to represent the cost for up to 80 guests. Follow these steps:
- Determine the appropriate \(x\)–values needed to complete a table that represents the cost for up to 80 guests.
- What is the starting \(x\)-value? This value should be in the first row of the table.
- What \(x\)–value should be in the last row of the table?
- By how much should the \(x\)-values increase from one line to the next?
Graph
2. Use the values in your table and a coordinate plane like the one shown below to graph this situation.
- Label each axis.
- Let the intersection of the axes represent the origin \((0,0)\).
- Determine the scale for each axis . Be sure that the graph shows up to at least 80 guests.
Equation
3. Determine the slope and the \(y\)-intercept for this situation.
Slope:
\(y\)-intercept:
4. Define the variables used in this situation.
Let \(x\) =
Let \(y\) =
5. Write an equation to represent the total cost to cater a luncheon for any number of guests.
