Answer:
Study 1 Answers:
1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.
2) 1290 represents the initial value, or before the study began.
Study 2 Answers:
1) 1180 is the initial value, or before the study began.
2) Study 1 started with more bacteria
3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth
Step-by-step explanation:
Exponential functions are in the form 
, where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.
Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.
Answer: Ali would need to drive 350 miles for the two plans to cost the same.
Step-by-step explanation:
This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.
Let the cost be C.
Let the number of miles be M.
Let the initial payment be i.
Let the rate per mile driven be R.
Plan 1:
C = i+R×M
C = 70+0.60M ... equation 1
Plan 2:
C = i+R×M
C = 0+0.80M
C = 0.80M ...equation 2
Substituting equation 2 into equation 1:
0.80M = 70+0.60M
0.80-0.60M = 70
0.20M = 70
M = 70/0.20
M = 350 miles
Answer:
(First step for obtaining a common denominator for the two fraction)
Step-by-step explanation:
where,
a is acceleration of an object.(Need to calculate)
Now we will simplify above expression for a
First we make common denominator.
Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get
(First step for obtaining a common denominator for the two fraction)
Now we combine the numerator
Answer:
Linear
Step-by-step explanation:
