Question

1. the following table lists the fine a driver must pay when she is caught for speeding on a street where the speed limit is 45 mph.

v (mph)	55	60	65	70	75

(a) what is the fine for someone speeding in a 45 - mph zone if she is going 60 mph?
(b) is the fine a function of the speed or is the speed a function of the fine?
(c) which variable is dependent?
(d) what is the range?

Explanation:

Step1: Find the fine for 60 mph

Check the table. When $v = 60$ mph, the fine is $90.

Step2: Determine function - ship

For each value of speed $v$ (input), there is a unique value of fine (output). So the fine is a function of the speed.

Step3: Identify dependent variable

The fine amount depends on the speed. So the dependent variable is the fine.

Step4: Find the range

The range is the set of all possible output values. From the table, the range is $\{75,90,105,125,150\}$.

Answer:

(a) $90
(b) The fine is a function of the speed.
(c) The fine.
(d) $\{75,90,105,125,150\}$