Understanding Linear Equations in Phone Service Charges

The video tutorial explains how a phone company charges for services using a linear equation. It covers the formula C(n) = 19 + 0.03n, where n is the number of minutes talked, and C(n) is the monthly charge. The tutorial breaks down the components of the equation, focusing on the slope (rate of change) and the intercept (initial value). It explains the significance of these components, including the units of measurement, and how they relate to real-world scenarios, such as the cost per minute and the fixed monthly charge.

What is the formula used by the phone company to calculate the monthly charge?

• C(n) = 0.03 + 19n

• C(n) = 0.03n + 19

• C(n) = 19 + 0.03n

• C(n) = 19n + 0.03

In the equation C(n) = 19 + 0.03n, what does the coefficient of n represent?

• The initial charge

• The number of minutes

• The rate of change per minute

• The total charge

How is the slope of the equation C(n) = 19 + 0.03n expressed in terms of units?

• Dollars per month

• Minutes per dollar

• Minutes per month

• Dollars per minute

What does the slope of 0.03 in the equation indicate?

• The charge is fixed at $0.03

• The charge increases by $0.03 per minute

• The charge is $0.03 for the first minute

• The charge decreases by $0.03 per minute

How does the monthly charge change with each additional minute talked?

• It increases by $0.03

• It remains the same

• It decreases by $0.03

• It doubles

What is the initial value in the equation C(n) = 19 + 0.03n?

• $19.03

• $0

• $19

• $0.03

What does the initial value of $19 represent in the context of the phone service?

• The discount offered

• The fixed monthly cost

• The total monthly charge

• The cost per minute

If no minutes are talked, what will be the monthly charge according to the equation?

• $0

• $19.03

• $0.03

• $19

What is the significance of the vertical intercept in the equation?

• It represents the total minutes

• It is the slope of the line

• It shows the rate of change

• It indicates the fixed cost

Why is the initial value also called the starting value?

• Because it is the charge after the first minute

• Because it is the charge when no minutes are talked

• Because it is the charge for the first minute

• Because it is the charge for the last minute