MA240 College Algebra
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Question 1
The function P(t) = 145e-0.092t models a runner’s pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner’s pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify your observation algebraically.
Question 2
Use the numbers shown in the bar graph below to find the total cost of tuition and fees at public colleges for a four year period from the school year ending in 2007 through the school year ending in 2010.
The model an = 395n + 5419 describes the cost of tuition and fees at public colleges in academic year n, where n = 1 corresponds to the school year ending in 2007, n = 2 to the school year ending in 2008, and so on.
Use this model and the formula for Sn to find the total cost of tuition and fees at public colleges for a four-year period from the school year ending in 2007 through the school year ending in 2010.
How does this compare with the actual sum you obtained in part (a)?
