The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
- Let the amount of works done by Latisha be = x
- Then, the amount of works done by Demetrius will be = x + 1
Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
- 5 times open paren x plus 1 close paren and 5 x plus 5 is correct.
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Answer:
27:3
Step-by-step explanation:
multiply the 9 by 3 to get the first part
Answer:
A B and D
Step-by-step explanation:
The population model is an exponential decay because it decreases
The exponential model of the population is P = 3000(0.64^1/7)^t
<h3>How to determine the function?</h3>
The population decreases by 0.36 every 7 years.
This means that the function is an exponential decay.
An exponential decay function is represented as:
P = a((1 - r)^1/n)^t
Where:
- a represents the initial value (3000)
- r represents the rate (0.36)
- n represents the number of years the population decreases (7)
- P and t are the variables
So, we have:
P = 3000((1 - 0.36)^1/7)^t
Evaluate the difference
P = 3000(0.64^1/7)^t
Hence, the exponential model of the population is P = 3000(0.64^1/7)^t
Read more about exponential functions at:
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