9A math

Choose the correct description below.

. The rate at which the stopping distance increases grows faster as speed increases.

Write a short statement that expresses a possible relationship between the variables. left parenthesis latitude comma ocean temperature on a given day right parenthesis

As the latitude​ increases, the ocean temperature on a given day decreases.

Write a short statement that expresses a possible relationship between the variables. left parenthesis volume of gas tank comma cost to fill the tank right parenthesis

As the volume of a gas tank​ increases, the cost to fill the tank increases.

What is a mathematical​ model? Explain this​ statement: A​ model's predictions can only be as good as the data and the assumptions from which the model is built.

Mathematical models are based on relationships between quantities that change and are described by mathematical tools called functions. Choose the correct answer below. This statement means that more data and more solid assumptions lead to better predictions.

In the following​ situation, state whether two variables are related in a way that might be described by a function. If​ so, identify the independent and dependent variables. You are a music store ownerare a music store owner and want to know how the demand for CDs left parenthesis the number thatwant to know how the demand for CDs (the number that you can sell right parenthesis dependsyou can sell) depends on the price you charge per CD.

The situation can be described by a function. The dependent variable is the demanddemand and the independent variable is the priceprice.

Decide whether the following statement makes sense or does not make sense. Explain your reasoning. I graphed a function showing how my heart rate depends on my running speed. The domain was heart rates from 60 to 180 beats per minute.

The statement does not make sense because the heart rate depends on the running speed.​ Thus, the domain should contain the running speeds and the range should contain the heart rates.

Decide whether the following statement makes sense or does not make sense. Explain your reasoning. Scientists at an atmospheric research center use mathematical models to learn about the climate of a given planet. Choose the correct answer below.

The statement makes sense because the research center can use mathematical models to predict future trends of the​ planet's climate and determine the trends of the​ planet's climate before data was available.

Determine whether the sentence makes sense or does not make sense. The amount of my gas bill is a function of my gas usage.

The statement makes sense nbspThe statement makes sense because the cost of gasthe cost of gas is based on usage.is based on usage. nothing

What are the three basic ways to represent a​ function?

The three basic ways to represent a function are a​ table, a​ graph, and an equation.

10, The following data table represents a function. Speed left parenthesis mi divided by hr right parenthesis(mi/hr) Stopping Distance ​(reaction plus braking in​ ft) 10 18 20 44 30 80 40 126 50 155 60 222 70 304 a. Identify the independent and dependent​ variables, and describe the domain and range. b. Make a clear graph of the function. c. Describe the function in words.

a. independent is the speed and dependent​ variables, is stopping at distance The domain of the function consists of all the speeds from the minimum value of 10 to the maximum value of 70. The range of the function consists of all the distances from the minimum value of 18 to the maximum value of 304. b. Make a clear graph of the function. Choose the correct graph below.