Algebra

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

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

The point (-3, -5) is on the graph of a function. Which equation must be true regarding the function?

f(-3) = -5

The function f(x) is given by the set of ordered pairs. {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)} Which is true regarding the function?

f(-6) = 10

If point (4, 5) is on the graph of a function, which equation must be true?

f(4)=5

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

f(c) = 3c + 5

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

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

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.

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.

The function h(t) = -16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

the height of the rock 3.2 seconds after it is propelled

The function h(t) = -16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot. What does h(3.2) represent?

the height of the rock 3.2 seconds after it is propelled

The height of a rocket a given number of seconds after it is released is modeled by . What does t represent?

the number of seconds after the rocket is released

For one month Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C(F) = 5/9 (F-32) : What does C(F) represent?

the temperature of F degrees Fahrenheit converted to degrees Celsius

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

{t| 0 ≤ t ≤ 14}