Question

Billy joined Franco's today. His membership cost him $50. He has to pay $2 each time he goes. Name m and b:

A) m = 2, b = 50
B) m = 50, b = 2
C) m = 53, b = 2
D) m = 2, b = 53

Answer 1

The correct answer is A) m = 2, b = 50, where 'm' represents the cost per visit and 'b' the initial membership cost for Billy joining Franco's gym.

Step-by-step explanation:

The question relates to the equation of a line, which is generally expressed in the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. In this context, the equation is used to model the cost (y) of attending Franco's gym as a function of the number of visits (x). The student is asked to identify the values of 'm' and 'b' from the given options. The slope 'm' represents the variable cost per visit, and the y-intercept 'b' represents the initial membership cost. Therefore, the correct answer is: A) m = 2, b = 50. This is because Billy pays a membership cost of $50, which is the initial amount paid regardless of the number of visits (the y-intercept), and a variable cost of $2 for each visit he makes to the gym (the slope of the line).