Answer:
The equation that represents the total cost in dollars is C = 100p + 300
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope ⇒ rate of change
- b is the y-intercept ⇒ fixed amount
∵ Avery must pay a daily fixed cost to rent the building and equipment
∴ There is a fixed amount b
∵ She pays a cost per phone produced for materials and labor
∴ There is a rate m
∵ C represents the total cost of producing p phones in dollars
→ Form the linear equation for the situation
∴ The equation is C = m p + b
∵ The labor and materials cost $100 for each phone
∴ m = 100
→ Substitute it in the equation above
∴ C = 100p + b
∵ The cost of producing 3 phones in a day would be $600
∴ p = 3 and C = 600
→ Substitute them in the equation above to find b
∵ 600 = 100(3) + b
∴ 600 = 300 + b
→ Subtract 300 from both sides to find b
∵ 600 - 300 = 300 - 300 + b
∴ 300 = b
→ Substitute it in the equation
∴ C = 100p + 300
∴ The equation that represents the total cost in dollars is C = 100p + 300
