Exercises 61–66 use the mathematical system described next. Many ceiling fans have a four-way switch on a pull chain, with positions off, high speed, medium speed, and low speed. We can build a mathematical system to describe the positions using 0 for off, 1 for high speed, 2 for medium speed, and 3 for low speed. For example, if the fan is off and you pull the chain once, it goes to high speed, so if we use + to represent the operation of combining positions by pulling the chain, 0 + 1 = 1. If it’s on medium speed and you pull the chain three times the result is also high speed (medium → low → off → high), so 2 + 3 = 1. 61. Fill in the operational table we’ve started below for the mathematical system described by the ceiling fan pull chain.
Exercises 61–66 use the mathematical system described next. Many ceiling fans have a four-way switch on a pull chain, with positions off, high speed, medium speed, and low speed. We can build a mathematical system to describe the positions using 0 for off, 1 for high speed, 2 for medium speed, and 3 for low speed. For example, if the fan is off and you pull the chain once, it goes to high speed, so if we use + to represent the operation of combining positions by pulling the chain, 0 + 1 = 1. If it’s on medium speed and you pull the chain three times the result is also high speed (medium → low → off → high), so 2 + 3 = 1. 61. Fill in the operational table we’ve started below for the mathematical system described by the ceiling fan pull chain.
Solution Summary: The author describes the operation table for the mathematical system described by the ceiling fan pulls chain.
Exercises 61–66 use the mathematical system described next.
Many ceiling fans have a four-way switch on a pull chain, with positions off, high speed, medium speed, and low speed. We can build a mathematical system to describe the positions using 0 for off, 1 for high speed, 2 for medium speed, and 3 for low speed. For example, if the fan is off and you pull the chain once, it goes to high speed, so if we use + to represent the operation of combining positions by pulling the chain, 0 + 1 = 1. If it’s on medium speed and you pull the chain three times the result is also high speed (medium → low → off → high), so 2 + 3 = 1.
61. Fill in the operational table we’ve started below for the mathematical system described by the ceiling fan pull chain.
Exercise 5.7.4
A UMass Boston student has earned 55 credits toward his degree but has a GPA of just 1.80. The registrar has informed him that he is on probabtion and will be suspended unless his overall GPA is at least 2.0 after one more semester.
a) If he takes 12 credits, what is the minumum GPA he must earn in the semester to avoid being suspended?
b) Answer the same question if he takes 9 credits.
c) What if he took just 6 credits?
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