Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po = 9, and the population after 4 weeks is P4 = 25. Find an explicit formula for the beetle population after n weeks. Pn = After how many weeks will the beetle population reach 113?

Sagot :

Pn = 4n + 9

it will take 26 weeks

Explanation:

Po = 9

P4 = 25

the linear model will be in the form of linear equation:

y = mx + c

where c = Po

x = 4

y = P4 = 25

we insert to get the m = slope or rate of change

25 = m(4) + 9

25 = 4m + 9

25 - 9 = 4m

16 = 4m

m = 16/4

m = 4

Inserting the m and c into the equation of line:

y = 4x + 9

We are told represent the number of weeks with n. Hence, we replace our x with n.

Also, y = Pn

Pn = 4n + 9

when Pn = 113, n = ?

Pn = 4n + 9

113 = 4n + 9

113 - 9 = 4n

104 = 4n

104/4 = n

n = 26

Therefore, it will take 26 weeks for the beetle population to reach 113

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.