1. The per capita net cost C (in dollars) of private health insurance coverage in the United States from 2009 and projected to 2021 can be approximated by the formula

C = 31.9t + 310

where t is the number of years past 2005.

(a) To estimate these per capita costs for 2021, what t-value must be used?

(b) Estimate the per capita net cost of private heath insurance coverage in 2021.

(c) What does part (b) mean for a family of 4 in 2021?

2. Thunderstorms severe enough to produce hail develop when an upper-level low (a pool of cold air high in the atmosphere) moves through a region where there is warm, moist air at the surface. These storms create an updraft that draws the moist air into subfreezing air above 10,000 feet. The strength of the updraft, as measured by its speed s (in mph), affects the diameter of the hail h (in inches) according to

h = 0.000595s1.922 or equivalently s = 47.7h0.519.

(a) What size hail is produced by an updraft of 50 mph?

(b) When a storm produces softball-sized hail (about 4.5 inches in diameter), how fast is the updraft?