A violinist charges $75 for a visit and an additional $25 for each hour she performs.

Question

A violinist charges $75 for a visit and an additional $25 for each hour she performs.

Part 1) What is the function rule if C represents the total cost of the visit and h represents the number of hours?

(1 point)
Responses

h = 75C - 25
h = 75C - 25

C = 75h + 25
C = 75h + 25

C = 25h - 75
C = 25h - 75

h = 75C + 25
h = 75C + 25

C = 25h + 75
C = 25h + 75

C = 75h - 25
C = 75h - 25
Question 2
Part 2) If the violist will only visit a maximum of 6 hours, what is a reasonable graph of the function rule?(1 point)
Responses

Answer 1

The correct function rule for the total cost, C, in terms of the number of hours, h, is:

C = 75h + 25

For the graph of the function rule, it will be a linear graph with the horizontal axis representing the number of hours (h) and the vertical axis representing the total cost (C).

Since the maximum number of hours is 6, we can plot the points (0, 25), (1, 100), (2, 175), (3, 250), (4, 325), (5, 400), and (6, 475). These points would lie on the graph, and we can then draw a straight line passing through these points to represent the function rule.