Use constant of variation y =kx i.e
15 gallons k=>17.55
k gallons =17.55/15=1.17
18 gallons k=>21.06
k gallons =21.06/18=1.17
Therefore ans => y=1.17x
Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
= t
2.4 = t
It will be half the initial amount after 2.4 days.
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
M would represent the slope. for example if your equation was y=5x+9, 5 is your slope and 9 is the y intercept