please help.

Write a linear equation in slope-intercept from to model the situation. A telephone company charges $28.75 per mont plus .10 cent a minute for long distance calls

looks like

cost = .1m + 28.75 , where m is the number of minutes

c=.1m+28.75

To write a linear equation in slope-intercept form that models this situation, we need to understand the components involved.

Let's consider the monthly cost y as a function of the number of minutes x used for long distance calls.

First, we have a base charge of $28.75 per month, which is a fixed cost regardless of the number of minutes used. This fixed cost is represented by the y-intercept (b) in the slope-intercept form of the linear equation.

Next, we have an additional charge of $0.10 per minute for long distance calls. This charge is proportional to the number of minutes used. It represents the slope (m) in the slope-intercept form of the linear equation.

Therefore, the slope-intercept form of the linear equation can be expressed as:

y = mx + b

where:
- y is the monthly cost.
- m is the slope, which represents the additional cost per minute.
- x is the number of minutes used.
- b is the y-intercept, which is the fixed monthly cost.

In this scenario, the slope (m) is $0.10, as the company charges $0.10 per minute, and the y-intercept (b) is $28.75, which is the fixed monthly charge.

Thus, the linear equation in slope-intercept form to model this situation is:

y = 0.10x + 28.75