A television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.
Write an equation in slope-intercept form relating the basic fee and per-hour charge.
Total Cost = 4000 + 2000 t
where t is the number of hours
y=2000x+4000
$4000 + $2000 = c (c for cost
To write an equation in slope-intercept form, we need to define the variables involved. Let's use the following:
- x: the number of hours of filming.
- y: the total cost of filming.
The basic fee of $4000 is a fixed cost that does not change with the number of hours. So, we can say that the y-intercept (b) of the equation is $4000.
The per-hour charge of $2000 indicates that for each hour of filming, an additional $2000 is charged. This can be represented by the slope (m) of the equation, which determines the rate of change in the cost per hour.
Therefore, the equation relating the basic fee and per-hour charge in slope-intercept form is:
y = mx + b
In this case, the equation becomes:
y = 2000x + 4000