Directions: For each problem, write an absolute value equation to

Directions: For each problem, write an absolute value equation to model the situation.   Then, solve the equation and write a sentence explaining your answer.

1. Clarissa signed a contract to reserve a dance hall for her daughter‛s birthday party. The contract allows for 120 people, however the pricing will change if the actual number of guests is not within 20 of this amount. What is the minimum and maximum amount of guests Clarissa can have according to the contract? 2. The air pressure in a football is measured in pounds per square inch (psi). The average pressure of a New England football is 13 psi. If official rules allow the pressure to fluctuate by 0.5 psi, find the extreme possible values for a football‛s air pressure. 3. A thermometer is accurate within 0.6ºF. The thermometer indicates that Zackary‛s temperature is 101.7ºF. Find the extreme possible values of Zackary‛s actual temperature. 4. If the center thickness of a contact lens varies more than 0.150 mm from the target thickness of 5.000 mm, the lens cannot be sold. Find the extreme acceptable values for the center thickness of a contact lens. 5. The pH of water is a measure of its acidity. The pH of the water on a water slide at a water park can vary up to 0.3 from the target pH of 7.5. Find the extreme pH values for the water on the slide. 6. If the speed of a car on the highway detected by a radar gun is within 7 mph of the speed limit, a police officer will not issue a ticket to a car for driving too fast or too slow. What is the acceptable range of speeds in a 55-mph speed zone?