Understanding Phone Company Charges

The video tutorial explains a phone company's charge formula, c(n) = 27 + 0.08n, where n is the number of minutes talked, and c(n) is the monthly charge in dollars. It covers the concepts of slope and vertical intercept, detailing how the slope (0.08) represents the cost per minute and the vertical intercept (27) represents the base charge. The tutorial also discusses the units of the slope as dollars per minute and the significance of the vertical intercept as the initial cost.

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

• c(n) = 0.08n + 27n

• c(n) = 0.08 + 27n

• c(n) = 27n + 0.08

• c(n) = 27 + 0.08n

In the equation c(n) = 27 + 0.08n, what does the term 0.08 represent?

• The number of minutes

• The total charge

• The cost per minute

• The initial charge

What is the significance of the slope in the phone company's charging formula?

• It is the number of minutes talked

• It indicates the initial charge

• It shows the rate of change per minute

• It represents the total charge

Which part of the equation represents the constant rate of change?

• c(n)

• 0.08

• n

• 27

How is the slope of the equation expressed in terms of units?

• Minutes per hour

• Dollars per minute

• Minutes per dollar

• Dollars per hour

How can the slope 0.08 be interpreted in terms of cost?

• 0.8 dollars per minute

• 80 cents per minute

• 8 dollars per minute

• 8 cents per minute

What does the vertical intercept of 27 signify in the context of the phone company's charges?

• The cost for 27 minutes

• The initial monthly charge

• The cost per minute

• The total monthly charge

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

• $8

• $0

• $27

• $35

What is the ordered pair that represents the vertical intercept?

• (0, 0.08)

• (27, 0)

• (0, 27)

• (27, 0.08)

What is the initial value in the equation c(n) = 27 + 0.08n?

• c(n)

• 0.08

• n

• 27