Function Notation: Assignment

The function h(t) = 210 - 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the context of the real-world scenario, and how to find its value.

(Sample answer) t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 15t in place of t. Simplifying 210 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

A hot air balloon descends to the ground. The function h(t) = 210 - 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?

C. The graph is continuous because there can be fractional values for time.

A hot air balloon descends to the ground. The function a(t) = 210 - 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes. What does t represent? What does a(t) represent? What information will a(5.5) give?

T represents time after the balloon begins to descend. a(t) represents altitude of the balloon. a(5.5) is altitude of the balloon after 5.5 minutes.

The values in the table represent a function. Use the drop-down menus to complete the statements.

The ordered pair given in the first row of the table can be written using function notation as f(-6)=8. f(3) is-2 f(x)=-5 when x is 4.

What is the domain of the function represented in the graph?

A. {t| 0 ≤ t ≤ 14}

Consider the function represented by the equation 6c = 2p - 10. Write the equation in function notation, where c is the independent variable.

B. f(c) = 3c + 5

Which statement best describes the function h(t) = 210 - 15t?

B. h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

The mapping diagram shows a functional relationship. Complete the sentences. f(4) is ____ f(x)=4 when x is _____

Blank One: 1/2 Blank Two: 8

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

2. The distance traveled depends on the amount of time Marlene rides her bike. 5. The function f(t) = 16t represents the scenario.