The exponential function f(x)=100(0.7)^x models Exponential (Growth/Decay) and the rate of (Growth/Decay) is (7%/30%/70%/130%).
1 answer:
Answer:
Exponential Functions, eh?
Step-by-step explanation:
First we have to know if it is growth or decay!
(HINT: look inside the parentheses, there's that value I am talking about)
If that value(forgot the variable that was supposed to represent it) is below 1 and above 0, it is decay. If it's greater than 1, it's growth, as the value increases with each larger x-value.
So, It's 0.7, so it's Decay.
The rate of decay depends on the value again. The rate of decay is:
So, using substitution:
And because percents, we have to multiply it by 100 to get our percentage.
(The percentage sign would not come up)
The Rate of Decay is 30%
Hope this Helps!
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Answer:
The age of each person is:
- Jess is <u>21</u> years old.
- Mac is <u>66</u> years old.
Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1.
The second equation has the information "The sum of their age is 87":
2.
Now, we replace the first equation in the second one:
And we operate:
We clear the variable m:
How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
We replace the value of m:
And clear the variable j:
In the end, Jess's age is 21 years old.