Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

A town’s population has been decreasing at a constant rate. In 2010 the population was 5,900. By 2012 the population had dropped to 4,700 people. Assume this trend continues.The population in 2016 will be Answer people.

Sagot :

Answer:

2,300 people.

Explanation:

The sentence "decreasing at a constant rate" suggests a linear relationship.

• The population in 2010 = 5900 =>(0, 5900)

,

• The population in 2012= 4700 =>(2, 4700)

First, determine the constant rate of the population's decrease.

[tex]\text{Rate}=\frac{5900-4700}{0-2}=\frac{1200}{-2}=-600[/tex]

Thus, we can model the town's population using the linear function.

[tex]y=5900-600x[/tex]

In 2016, that is, 6 years after 2010: x=6

[tex]y=5900-600(6)=5900-3600=2300[/tex]

The population in 2016 will be 2,300 people.

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.