Unit 1 review - modeling linear functions

Over what span is the following function decreasing?

Over what interval is function g(x) positive?

Using set notation, describe how this function is increasing.

• all real numbers

Given the graph of c(x), evaluate c(1).

Given f(x) = 3x + 2, evaluate f(3).

A tow truck charges a flat rate of $100 plus $5 per mile driven. The cost can be represented by the function c(x) = 5x + 100 and the graph below.

Explain what the statement c(40) = 300 means in the context of this situation.

• If the tow truck is driven 40 miles, the cost is $300.

• If the tow truck costs $40, the miles driven will be 300 miles.

• If the tow truck is driven 300 miles, the cost is $40.

A tow truck charges a flat rate of $100 plus $5 per mile driven. The cost can be represented by the function c(x) = 5x + 100 and the graph below.

What is the slope in context to the graph?

• Every 100 miles costs an additional $20.

• Every 20 miles costs an additional $100.

• Every 1 box up means 2 boxes to the right.

• Every 10 miles costs an additional $100.