a phone company charges a flat monthly fee of $15 for cell phone services, plus an additional fee for every minute you talk. in a given month, you are charged $36 for the 24 minutes you talked( not including the $15 flat fee.) let the total cost be c(in $) and the time you talk be t(in minutes)

how do i find the dependent and independent variables, and the "fixed" cost of the phone plan, and what cost do you pay per minute. and how do i write an equation relating c and t

how is this geometry?

The independent variable is the one that can change by itself. In this case, the number of minutes you talk: t.

c = fixed bill + minute rate*t

The charge for each minute = $36/24 = 1.50 (pretty pricey!)

c = 15.00 + 1.50t

how would you write an equation for a phone that cost $30 plus 30 cents per minute

To find the dependent and independent variables in this scenario, we need to understand the relationship between the variables. In this case, the cost of the phone plan, denoted by c, depends on the time you talk, denoted by t. So, the dependent variable is the cost (c), and the independent variable is the time of talk (t).

The fixed cost of the phone plan is the flat monthly fee of $15, which remains constant regardless of the talk time. Hence, the fixed cost in this scenario is $15.

The cost per minute can be determined by subtracting the fixed cost from the total cost and dividing it by the talk time. In this case, the additional cost for talk time is $36, excluding the $15 flat fee, and the talk time is 24 minutes. Thus, the cost per minute can be calculated as follows:

Cost per minute = (Total Cost - Fixed Cost) / Talk Time
Cost per minute = ($36 - $15) / 24
Cost per minute = $21 / 24 ≈ $0.875 per minute

Therefore, the cost per minute is approximately $0.875.

To write an equation relating the cost (c) and the time of talk (t), we can use the given information. The equation will consist of the fixed cost plus the cost per minute multiplied by the time of talk:

c = fixed cost + (cost per minute) * t

Substituting the known values, we get:

c = $15 + ($0.875) * t

Hence, the equation relating the cost (c) and the time of talk (t) is c = $15 + ($0.875) * t.