Using data from 2010 and projected to 2050, the number of millions of U S adults with diabetes, y, can be approximated by the formula where t is the number of years after 2000 (Source Centers for Disease Control and Prevention) (a) The actual numbers of millions given by the CDC for selected years ...

a b Increase between 2015 and 2025 is 5 ...

Using data from 2010 and projected to 2050, the number of millions of U.S. adults with diabetes,

Question:

Using data from 2010 and projected to 2050, the number of millions of U.S. adults with diabetes, y, can be approximated by the formula
120 y = 1 + 5.25(1.066)¯ where t is the number of years after 2000 (Source: Centers for Disease Control and Prevention).

(a) The actual numbers of millions given by the CDC for selected years are as follows.

For each of these years, find the number of U.S. adults with diabetes predicted by the formula. Round your answer to one decimal place.

(b) Using the number of U.S. adults with diabetes given above for 2015, how many more U.S. adults with diabetes does the formula predict will be added by 2025?

(c) Why is it reasonable that the formula approximating the number of U.S. adults with diabetes has an upper limit that cannot be exceeded? Use large t-values to discover this formula’s upper limit.

Fantastic news! We've Found the answer you've been seeking!