Two new skyscrapers, North and South, are being built.
Dayton says that the floors of the North Tower are taller than the floors of the South Tower. He also says that the ground floor of the South Tower is taller than the ground floor of the North Tower.
3 answers
This statement is contradictory and cannot be true. If the floors of the North Tower are taller than the floors of the South Tower, then the ground floor of the North Tower must be taller than the ground floor of the South Tower. Therefore, Dayton's statement cannot be correct.
Utility companies usually charge their customers based on the number of kilowatt-hours their customers consume in a period.
Suppose the function A(p) = 0.096p + 19.50 represents the monthly charge, A, in dollars for a customer with Electric Company A consuming p kilowatt-hours of power.
The function B(p) = 0.104p + 17.75 represents the monthly charge, B, in dollars for a customer with Electric Company B consuming p kilowatt-hours of power.
Analyze the functions by interpreting the slope and y-intercept for each function in terms of the context for this situation. Then assess how the slope and y-intercept of Electric Company A compare with the slope and y-intercept of Electric Company B in this situation.
Suppose the function A(p) = 0.096p + 19.50 represents the monthly charge, A, in dollars for a customer with Electric Company A consuming p kilowatt-hours of power.
The function B(p) = 0.104p + 17.75 represents the monthly charge, B, in dollars for a customer with Electric Company B consuming p kilowatt-hours of power.
Analyze the functions by interpreting the slope and y-intercept for each function in terms of the context for this situation. Then assess how the slope and y-intercept of Electric Company A compare with the slope and y-intercept of Electric Company B in this situation.
In both functions, the slope represents the cost per kilowatt-hour of power consumed, and the y-intercept represents the fixed monthly charge regardless of how much power is consumed.
For Electric Company A, the slope is 0.096, which means that for every additional kilowatt-hour consumed, the monthly charge increases by 9.6 cents. The y-intercept is $19.50, which means that even if the customer consumes no power, they will still be charged $19.50 each month.
For Electric Company B, the slope is 0.104, which means that for every additional kilowatt-hour consumed, the monthly charge increases by 10.4 cents. The y-intercept is $17.75, which means that even if the customer consumes no power, they will still be charged $17.75 each month.
Compared to Electric Company B, Electric Company A has a lower slope, which means they charge less per kilowatt-hour consumed. However, Electric Company A has a higher y-intercept, which means they charge a higher fixed monthly charge regardless of how much power is consumed.
Overall, it is difficult to say which company has better pricing without more information about the typical power consumption of customers, but these differences in slope and y-intercept do suggest that different customers may prefer different companies depending on their specific power usage patterns.
For Electric Company A, the slope is 0.096, which means that for every additional kilowatt-hour consumed, the monthly charge increases by 9.6 cents. The y-intercept is $19.50, which means that even if the customer consumes no power, they will still be charged $19.50 each month.
For Electric Company B, the slope is 0.104, which means that for every additional kilowatt-hour consumed, the monthly charge increases by 10.4 cents. The y-intercept is $17.75, which means that even if the customer consumes no power, they will still be charged $17.75 each month.
Compared to Electric Company B, Electric Company A has a lower slope, which means they charge less per kilowatt-hour consumed. However, Electric Company A has a higher y-intercept, which means they charge a higher fixed monthly charge regardless of how much power is consumed.
Overall, it is difficult to say which company has better pricing without more information about the typical power consumption of customers, but these differences in slope and y-intercept do suggest that different customers may prefer different companies depending on their specific power usage patterns.