Determine the initial value and the rate of change in the following description. At a local festival, the entrance fee is $12 per person, and ride tickets cost $2 for every ride.(1 point)%0D%0AThe initial value is b=%0D%0A%0D%0A=%0D%0A, and the rate of change is m=%0D%0A%0D%0A=%0D%0A.
The initial value is the entrance fee, which is $12 per person. Therefore, b = $12.
The rate of change is the cost of each ride ticket, which is $2 per ride. Therefore, m = $2.
what about b
no it is b=12 and m= 2 your wellcome
My apologies for the oversight. The initial value, b, is the entrance fee, which is $12 per person. So, b = $12.
To determine the initial value and the rate of change in the given description, we need to identify the variables and their relationships.
In this case, we have two variables: the number of people attending the festival (x) and the cost of the entrance fee and ride tickets (y).
The given information tells us that the entrance fee is $12 per person, and the cost of ride tickets is $2 for every ride. So the equation relating x and y can be written as:
y = 12x + 2x
To determine the initial value (b) and the rate of change (m), we need to express this equation in slope-intercept form (y = mx + b), where m is the rate of change and b is the initial value.
Rearranging the equation, we have:
y = 14x
Comparing this with the slope-intercept form, we see that the coefficient of x is the rate of change (m), and there is no constant term, so the initial value (b) is zero.
Therefore, the initial value is b = 0, and the rate of change is m = 14.