Question: Based on data from the U.S. Census Bureau, an approximate family income distribution for the U.S. is given by the function (x) = 0.00462x 3

Based on data from the U.S. Census Bureau, an approximate family income distribution for the U.S. is given by the function ƒ(x) = 0.00462x3 - 0.160x2 + 1.30x + 2.85, where ƒ(x) is the number of families (in millions) and x is the annual income in units of $10,000, with 0 ≤ x ≤ 20. For example, x = 7.5 represents an annual family income of $75,000. This function does not give a good representation for family incomes over $200,000. The number of families (in millions) with an income in a given range can be found by integrating this function over that range. Find the number of families with an income between $50,000 and $75,000.

Step by Step Solution

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

About 145 million or 145000... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!