sophia is in the business of manufacturing phones. she must pay a daily fixed cost of $200 to rent the…

sophia is in the business of manufacturing phones. she must pay a daily fixed cost of $200 to rent the building and equipment, and also pays a cost of $100 per phone produced for materials and labor. make a table of values and then write an equation for c, in terms of p, representing total cost, in dollars, of producing p phones in a given day.\n\nanswer\nyou must answer all questions above in order to submit.

sophia is in the business of manufacturing phones. she must pay a daily fixed cost of $200 to rent the building and equipment, and also pays a cost of $100 per phone produced for materials and labor. make a table of values and then write an equation for c, in terms of p, representing total cost, in dollars, of producing p phones in a given day.\n\nanswer\nyou must answer all questions above in order to submit.

Answer

Explanation:

Step1: Calculate cost for 0 phones

Fixed cost is $200, variable cost for 0 phones is $0. So total cost $C = 200+100\times0=200$.

Step2: Calculate cost for 1 phone

Fixed cost is $200, variable cost for 1 phone is $100\times1 = 100$. So total cost $C=200 + 100\times1=300$.

Step3: Calculate cost for 2 phones

Fixed cost is $200, variable cost for 2 phones is $100\times2=200$. So total cost $C = 200+100\times2 = 400$.

Step4: Calculate cost for 3 phones

Fixed cost is $200, variable cost for 3 phones is $100\times3 = 300$. So total cost $C=200+100\times3=500$.

Step5: Find the general equation

The fixed - cost is 200 and the variable cost per phone is 100. So the equation for the total cost $C$ in terms of the number of phones $p$ is $C = 100p+200$.

Number of Phones Manufactured Total Cost to Manufacture Phones
0 200
1 300
2 400
3 500

Answer:

The equation is $C = 100p + 200$.