Exam 1: Linear Equations and Functions

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The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to   . For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that   . Round your answer to two decimal places. ​ ​ . For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to   . For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that   . Round your answer to two decimal places. ​ ​ . Round your answer to two decimal places. ​ ​

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What is the rate of change of the function whose graph is a line passing through What is the rate of change of the function whose graph is a line passing through   and   ? ​ and What is the rate of change of the function whose graph is a line passing through   and   ? ​ ? ​

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If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by   use the graph to find f(6.5). ​   ​ use the graph to find f(6.5). ​ If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by   use the graph to find f(6.5). ​   ​

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A small business recaps and sells tires. The business has a revenue function A small business recaps and sells tires. The business has a revenue function   and a cost function   , where x represents the number of sets of four tires recapped and sold. Find the number of sets of recaps that must be sold to break even. ​ and a cost function A small business recaps and sells tires. The business has a revenue function   and a cost function   , where x represents the number of sets of four tires recapped and sold. Find the number of sets of recaps that must be sold to break even. ​ , where x represents the number of sets of four tires recapped and sold. Find the number of sets of recaps that must be sold to break even. ​

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Let Let   and   . Does   for all values of x and h? ​ and Let   and   . Does   for all values of x and h? ​ . Does Let   and   . Does   for all values of x and h? ​ for all values of x and h? ​

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