To get the exponential model we use the form:
y=abˣ
where:
a=initial value
b=growth factor
y=number of years
thus using point (1,63) and (2,226)
the growth factor will be:
b=(226/63)=3.587~3.6
a=63
thus the formula for the function will be:
A(y)=a(3.6)^y
substituting (1,63) in the equation and solving for a.
63=a(3.6)^1
thus
a=63/3.6=17.5
hence the formula will be:
A(y)=17.82(3.6)^y
Answer: D] 17.5(3.6)^y
2] The number of acres defoliated after 5 years will be as follows:
y=5 years
A(y)=17.82(3.6)^y
plugging in the value we get:
A(y)=17.82(3.6)^5
simplifying the above
A(y)=10775.07
A(y)=10775
Answer: D
Step-by-step explanation:
28:20
Once simplified its 7:5
Answer:
f(x)=890(98.68)^t-1
Step-by-step explanation:
the amount decays by 1.32% each year. So multiply by 98.68%, which is the remaining amount after 1 year.
f(x)= 890(98.68)^t-1
890 is your initial amount. Multiply that by 98.68 to get the remaining amount after 1 year. then multiply that to the power of t-1, t being the term number, or amount of years from the initial amount. You subtract by 1 because 890(98.68) is already demonstrating the amount after the first term.
Answer:
No, x can't equal zero.
Step-by-step explanation:
substitute x for zero. now the equation says 4+0+2>8
4+2 is 6 so 6 < 8. 6 is less than 8 not greater, therefore x can't be zero
Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.