(1)Using the given information and the regression feature on your graphing
calculator, create a linear and an exponential model for Moore’s Law. Let 1965
represent the initial time,
Round to the
nearest hundredth, if necessary.
a.Linear- Y=6495x+50
b.Exponetial- Y=(50)2.05^x
(2)In 1970, about 1800 transistors could fit on the semiconductor. Given this information, which model for Moore’s Law is correct? Explain.
Exponential because it's being multiplied by a common ratio instead of added.
(3)Write a sequence of terms representing the number of transistors that could fit on a one-inch diameter circuit from 1965 to 1975. Is the sequence arithmetic or geometric? Why? 50, 210, 431, 883, 1800 Geometric because the common ratio is 2
(4)Write a rule for the nth term of the sequence. an=(50)2^(n-1)
(5)This sequence is known as “Moore’s Law.” Summarize Moore’s Law in your own words.
Moore’s Law is a computing term which originated around 1970; it's that the overall processing power for computers will double every two years. Even though its not very popular it's still accepted by technicians in different computer companies.
(6)In the 1970s, Moore revised his prediction to say that the number of transistors would double every two years. How does this affect the rule for your sequence? The rate would be cut in half because it takes twice as long to be doubled.
(7)Write a rule for a sequence that represents the number of transistors that could fit on a 1-inch diameter circuit from 1975 on using Moore’s revised prediction. Using that rule, predict how many transistors will be able to fit on a circuit in the year that you graduate.an(65,000)1.5^(n-1)
219375
a.Linear- Y=6495x+50
b.Exponetial- Y=(50)2.05^x
(2)In 1970, about 1800 transistors could fit on the semiconductor. Given this information, which model for Moore’s Law is correct? Explain.
Exponential because it's being multiplied by a common ratio instead of added.
(3)Write a sequence of terms representing the number of transistors that could fit on a one-inch diameter circuit from 1965 to 1975. Is the sequence arithmetic or geometric? Why? 50, 210, 431, 883, 1800 Geometric because the common ratio is 2
(4)Write a rule for the nth term of the sequence. an=(50)2^(n-1)
(5)This sequence is known as “Moore’s Law.” Summarize Moore’s Law in your own words.
Moore’s Law is a computing term which originated around 1970; it's that the overall processing power for computers will double every two years. Even though its not very popular it's still accepted by technicians in different computer companies.
(6)In the 1970s, Moore revised his prediction to say that the number of transistors would double every two years. How does this affect the rule for your sequence? The rate would be cut in half because it takes twice as long to be doubled.
(7)Write a rule for a sequence that represents the number of transistors that could fit on a 1-inch diameter circuit from 1975 on using Moore’s revised prediction. Using that rule, predict how many transistors will be able to fit on a circuit in the year that you graduate.an(65,000)1.5^(n-1)
219375