Modeling with Functions Answers

What type of function best models the data in the graph?linear✔ quadraticexponentialinverse variation

Which quadratic equation best models the data in the graph?

Which function best models the data in the graph?

Which function best models the data in the graph?

The horizontal reach of a fire hose is the distance the hose can spray water horizontally. Based on the function, about what is the minimum water pressure the fire hose needs to have a horizontal reach of 100 feet? 74 lb/in.2✔ 96 lb/in.2102 lb/in.2126 lb/in.2

Which type of function best models the data in the table? Justify your choice.

Which function best models the data in the graph?

Kirk made the graph to show his prediction of a population of bacteria over time. Which function best models the data in the graph?

Jana predicts that the population, y, will grow according to y = 12 log(x + 1) + 10, where x is the time in minutes. How much greater does Kirk’s model predict the population will be after 60 minutes than Jana’s model? greater by about 10 bacteriagreater by about 30 bacteria✔ greater by about 50 bacteriagreater by about 60 bacteria

An exponential function is not an appropriate model because, for evenly spaced x-values, the productratiosumdifference of consecutive y-values is not constant.

The horizontal reach of a fire hose is the distance the hose can spray water horizontally. Based on the function, about what is the minimum water pressure the fire hose needs to have a horizontal reach of 100 feet? 74 lb/in.296 lb/in.2102 lb/in.2126 lb/in.2

What does the y-intercept of the function represent in this situation?

A logarithmic function is an appropriate model because, for evenly spaced y-values, the sumdifferenceproduct✔ ratio of consecutive x-values is constant.

An exponential function is not an appropriate model because, for evenly spaced x-values, the product✔ ratiosumdifference of consecutive y-values is not constant.

Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute

The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet? ⇒ 10 pounds of force

Which did you include in your response?

What does the slope of the function represent in this situation?the depth of the ocean floorthe pressure at the ocean’s surfacethe rate at which a diver’s depth is increasingthe increase in pressure per meter of depth

What does the y-intercept of the function represent in this situation?the depth of the ocean floorthe pressure at the ocean floorthe pressure at the ocean’s surfacethe depth at which the pressure is 0