Question

Setting up polynomials from word problems, etc? Please help me with this mini lab!
If anyone could at least solve/set up the first problem, then by all means, go for it! Thanks guys!

Scenario:
The average income in thousands of dollars for a single Hispanic family in the United States t years since 2000 can be estimated by using the expression:
1.5t+42
The number of Hispanic families in millions in the United States t years since 2000 can be estimated by using the expression:
0.3t+8.4

1.) If we want to find information about the year 2015 from the expressions in the instructions, what number would we use for t?
t=?

2.Find the average income of a single Hispanic family in the United States in 2010. Remember that your answer should be in the range of thousands of dollars in standard notation.

3.Find the number of Hispanic families in the United States in 2010.  Remember that your answer should be in the range of millions of families 

4.Use the given expressions to write a new expression for the total income of all Hispanic families in the United States (your answer to this problem should be a polynomial – type in the coefficients for the polynomial you found below).

5.Explain how you found your answer to question #4.

6.Use the expression found in question #5 to find the total income of all Hispanic families in the United States in 2012. Remember that your answer should be in the range of Billions of Dollars (type in a number in standard notation, without commas or dollar signs).

Answer 1

That's a tough one.