A certain mountain has an elevation of 19,273 feet. In 1921, the glacier on this peak covered 4 acres. By 2001 this glacier had melted to only 1 acre. (a) Assume that this glacier melted at a constant rate each year. Find this yearly rate. (b) Use your answer from part (a) to write a linear equation that gives the acreage A of this glacier t years past 1921.

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A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)

Geographers find that the length of a river varies with the 0.6 power of the river basin. The Rio Grande is 3034kilometers long, and the basin is 500,000 square kilometers. Find the particular equation and use it to predict the riverbasin of the Nile (to the nearest hundred‐thousand), which at 6700 kilometers is the longest river in the world.