Question
In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4. Which of the following statements is the best interpretation of the number 331.4 in this context?
- The speed of sound, in meters per second, at 0°C
- The speed of sound, in meters per second, at 0.6°C
- The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°C
- The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C
The correct answer is: The speed of sound, in meters per second, at 0°C
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Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?
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In economics, the linear function is popular. It is appealing because it is straightforward and straightforward mathematical. Moreover, it has numerous useful applications.
A linear function consists of one independent variable and one dependent variable. 'y' is the dependent variable, while 'x' is the independent variable. In economics, the linear function is popular. It is appealing because it is straightforward and straightforward mathematical. Moreover, it has numerous useful applications. For example, linear functions have graphs that are straight lines.
A linear function's domain and range are typically a set of real numbers. However, there is one exception: if the function is constant (for example, f(x) = 2), the range is constrained to that constant.