If a1=
5 and an = 4an-1
then find the value of a6

(a) Carl earns $45 per 3 hours as given. To find the amount he earns per hour, we simply divide:

$45/3 hours = $15/hour

(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:

y = 12(1 hours)

y = $12/hour

Thus Carl makes more than Louis.

(c) The equation of Carl's dollars per hour is similar to Louis':

y = 15x 

where x is the number of hours he works and y is the number of dollars he earns. Plug in whole number values of hours for x and plot the points (x, y) on a graph.