Question

the student center also offers an architecture class. the description shows the total cost of a class, y, as a function of the number of sessions attended, x. architecture class: $5 initial fee $13 per session initial value for architecture class: 5 rate of change for architecture class: 13 compare the functions. the? class costs less for 0 sessions. the? class costs less per session. drawing class: | number of sessions | 0 | 1 | 2 | 3 | 4 | | total cost ($) | 0 | 16 | 32 | 48 | 64 | initial value for drawing class: 0 rate of change for drawing class: 16

Explanation:

Step1: Analyze cost for 0 sessions

For architecture class, initial value (cost at 0 sessions) is $5. For drawing class, initial value (cost at 0 sessions) is $0. So drawing class costs less at 0 sessions.

Step2: Analyze cost per session

Rate of change is cost per session. Architecture class: $13 per session. Drawing class: $16 per session. So architecture class costs less per session.

Answer:

The drawing class costs less for 0 sessions.
The architecture class costs less per session.