Answer:
Step-by-step explanation:
-8 ; -16
Difference = -8 - (-16) = -8 + 16 = 8
Attached solution with detailed work.
Hello from MrBillDoesMath!
Answer: f(x) = (2/3)*x -3 -- which is not a provided answer..
Discussion:
We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:
y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3
= (2/3)*x + 4
Subtract 7 from both sides:
y + 7 - 7 = (2/3)*x + 4 - 7
or
y = (2/3)*x -3
Thank you,
MrB
y + 7= 2/3(x+6)
This can be expressed as exponential growth of the form:
f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time
In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...
6500=5000r^2 divide both sides by 5000
1.3=r^2 take the square root of both sides and note that we know r>0
r=1.3^(1/2) so our equation becomes:
f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:
f=5000(1.3)^(t/2) so for t=18
f=5000(1.3)^9
f≈53022 (to nearest whole bacteria)
