# The function

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.

a.      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.

2.      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.

1)     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.

1)     How does this compare with the actual sum you obtained in part (a)?