Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C, commaC, in terms of p, commap, representing total cost, in dollars, of producing pp phones in a given day.
To create a table of values, we need to calculate the total cost (C) for different numbers of phones (p) produced in a day.
If Morgan pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment, the total cost (C) can be calculated using the equation:
C = 200p + 400
We can now create a table of values:
Number of Phones (p) Total Cost (C)
1 200(1) + 400 = 600
2 200(2) + 400 = 800
3 200(3) + 400 = 1000
4 200(4) + 400 = 1200
5 200(5) + 400 = 1400
6 200(6) + 400 = 1600
... ...
The table lists the number of phones produced (p) alongside the total cost (C) for that number of phones in a given day.
whats the answer for C
The equation for C, in terms of p, representing the total cost of producing p phones in a given day, is:
C = 200p + 400