Math
I. 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, t=0. Round to the nearest hundredth, if necessary.
a. Linear model: Answer- y = 6,490x + 50
b. Exponential model: Answer- 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. Answer: Exponential; it is the only way to find the correct answer is by using exponential.
3. Write a sequence of terms representing the number of transistors that could fit on a one-inch diameter circuit from 1965 to 1970. Is the sequence arithmetic or geometric? Why? Answer: Geometric; because you have to apply multiplication which has to be used with geometric.
4. Write a rule for the nth term of the sequence. Answer: a = 50(2)^n-1 (geometric)
5. This sequence is known as "Moore's Law". Summarize Moore's Law in your own words. Answer: Our summary of Moore's Law is that the number of transistors doubles per year.
6. In the 1970's, 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? Answer: This rule affects our sequence because the equation that we came up with would grow to fast in comparison with this new rule.
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. Answer: y = 6,490x + 50 = 337,790 Transistors
I. 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, t=0. Round to the nearest hundredth, if necessary.
a. Linear model: Answer- y = 6,490x + 50
b. Exponential model: Answer- 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. Answer: Exponential; it is the only way to find the correct answer is by using exponential.
3. Write a sequence of terms representing the number of transistors that could fit on a one-inch diameter circuit from 1965 to 1970. Is the sequence arithmetic or geometric? Why? Answer: Geometric; because you have to apply multiplication which has to be used with geometric.
4. Write a rule for the nth term of the sequence. Answer: a = 50(2)^n-1 (geometric)
5. This sequence is known as "Moore's Law". Summarize Moore's Law in your own words. Answer: Our summary of Moore's Law is that the number of transistors doubles per year.
6. In the 1970's, 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? Answer: This rule affects our sequence because the equation that we came up with would grow to fast in comparison with this new rule.
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. Answer: y = 6,490x + 50 = 337,790 Transistors