Match each situation to its corresponding function. drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. situation 1: jim spends $45 on bagels for his office. he also buys coffee for x coworkers. each coffee costs $1.16. how much moremoney did jim spend on donuts than on coffee? situation 2: in a chemistry experiment, the initial mass of a solidin a container is 1.16 grams. a chemical reaction causesits mass to increase at a rate of 45 grams per minute. what will be its mass after x minutes? situation 3: eugene has a 12-acre plot and a 33-acre plot of farmland. his irrigation cost for the entire area averages$1.16 per acre per day. how much does eugene spendon irrigation in x days? situation 4: two new high school courses have been added to the semestercourse offerings. in the first semester, course a had 22 students enrolled, while course b had 23 students enrolled. since then, both courses have had a 16% increase in enrollment each semester. what is the total enrollment of students in both courses during the xth semester since they were added?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.