Constructing Functions

A business purchases a computer for $1500. The computer decreases in value $200 each year when the new model is released. Which function models the situation?

• y=200x+1500

• y=1500x-200

• y=-200x+1500

• y=200x-1500

Construct a linear model for the graph.

Construct a linear model for the table.

A factory produces 25 cars each day.  There are already 20 that have been completed.  Construct a linear model to represent the number of cars in the factory.

A charity has raised $400 and raises $300 more every week.  Construct a linear model to represent the money raised by the charity.

What is the rate of change for this point?

What variable is the slope in y = mx + b?

• y

• m

• x

• b

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Who has a greater rate of change? (slope)

• Smith

• Harmon

• Macey

• None of the above

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.