An air traffic controller is monitoring two small planes flying at the same altitude. One is flying towards the control tower from the West at 120 miles per hour and is currently 5 miles away from the tower. The other plane is now on top of the tower and flying South at 150 miles per hour. In order to respect local safety rules the planes have to be always more than 4 miles from each other, or fly at different altitudes. Should the controller order one of the planes to change altitude, or will they always be farther than 4 miles from each other?

A successful music app tracked thenumber of song downloads eachday for a month for 4 music artists,represented by lines,,, andover the course of a month. Whichline represents an artist whosedownloads remained constant overthe month?

An American author estimated a relationship between hourly wages in dollars (wage), and the height in inches (height), as wâge −10.44 +0.368height. She visits Portugal to present her results and changes the units of height from inches to centimeters (1 inch 2.54 centimeters). Her estimated relationship when height is measured in centimeters is given by wâge = −4.110 + 0.145height wâge = -4.110 + 0.368height wâge = -10.44 +0.935height wâge = -10.44 +0.145height =

If x varies directly as y, and x=21 when y=7, find x when y=9.

AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…