November 6 Math Homework

Pg. 178-180 Problem Set G

1a. Yes, growth
1b. Yes, decay
1c. No
1d. Yes, decay
1e. Yes, growth
1f. No
2a. II and III cannot describe a linear relationship. II cannot because is has more than one place that it curves. III cannot because it is a parabola.
2b. I involves growth and IV involves decay.
3a. No, you cannot
3b. No, there is not
4a. No
4b. Yes, it would involve growth because the interval that y increases by is getting higher and higher each time x increases.
4c. Yes, it would involve decay because the interval that y increases by is getting smaller and smaller each time x increases.
5. Yes, the relationship between the number of days since the scientist began growing the culture and the number of amoebas is exponential; the growth rate is 2.
6. No, the relationships between the number of days since Sydney began hiking and the number of miles she has hiked is not exponential because she hikes 15 miles everyday, which makes it linear.


Pg. 180-181 Problem Set H

1.
Days Culture 1 Culture 2 Culture 3 Culture 4
0 100 100 100 100
1 300 50 70 500
2 900 25 49 2500
3 2700 13 34 12500
4 8100 6 24 65200
2. Culture 1: 3
Culture 4: 5
3. Culture 2: 0.5
Culture 3: 0.7
4a. Culture 1: p=100*3n
Culture 2: p=100*0.5n
Culture 3: p=100*0.7n
Culture 4: p=100*5n
4b. They all start with the constant 100 and all have a number to the nth power.
4c. They all have a different number as the base of the exponent.
5a. Graphs not available.
5b. Graphs not available.
5c. The graphs that grew started low and went higher and higher. The graphs the decayed started really high up and eventually got lower and lower.
5d. They have the same form and shape just reflected across the y-axis.
5e. For the growth graphs, the graph the increases at the faster rate has a greater growth factor, while the graph he increases at a smaller rate has a lower growth factor. For the decay graphs, the smaller growth factor decreases faster than those with a larger growth factor.


Pg. 183-184 #9-16

9. No
10. Yes, growth factor of 4
11. Yes, growth factor of 4
12. No
13. Yes, decay factor of 0.25
14. No
15a. 133.3 mg
15b. 200*(2/3)n
15c. 200*(2/3)n
16a. IV
16b. I
16c. II
16d. III
16e. V



Note: It is possible that there is a typo or that I have made a calculation mistake. I do not take any blame for wrong answers.