Question

An exponential growth equation is given to you. y=500 × 1.08x. What is the growth rate? How do you know?

Answer 1

Which number has the greatest value? How do you know?

2.3 x 10-3 0.23 x 10-5 23x10-7

Answer 2

The number of people who vote early doubles every week leading up to an election. This week, 1200 people voted early. The expression 1200 × 2w models the number of people who will vote early w weeks after this week.
a) How many people will vote 5 weeks from now?
b) What would the expression represent if w = -3?

Answer 3

I will give medals to the person with the best awnser.

Answer 4

The exponential growth follows the following equation,
\[y=y_0(1+r)^t\]where r is the growth rate. Comparing equations, you have,
\[y=y_0(1+r)^t\equiv y=500\cdot1.08^x=500\cdot(1+0.08)^t\Leftrightarrow r=0.08\]

Answer 5

For the second question, you should put all numbers in scientific form (one number defore the decimal point and the rest of numbers after the decimal point),
\[2.3 \cdot 10^{-3}\ \ \ \ 2.3\cdot10^{-6} \ \ \ \ 2.3\cdot10^{-6}\]
As you see, the first number is greater (the exponent of the ten power is less negative that the others).

Answer 6

wow thanks for you help when you finish then last one do you mind helping me with this one?
A deer population doubles every year at a local state park. The number of deer is modeled by the expression 50 × 2y. What would the expression 50 × 3y indicate about the growth of the deer population?

Answer 7

For the third problem, supposing you wrote
\[y=1200\cdot2^x\]
Then
(a)
\[x=5\Rightarrow y=1200\cdot 2^5=38400\]
(b)
\[x=-3\Rightarrow y=1200\cdot 2^{-3}=150\]
It would represent the number of people who votes in the thir part of a week (if the geometric rule is still correct for periods smaller than a week).

Answer 8

In the last problem you can, again, use the equation,
\[y=y_0(1+r)^t\]
If r=2, the poblation is duplicate, but if r=2, then, the poblation is triplicated.

Answer 9

Can I get some help to solve y=500(1.08)t please