Question

The probability that a school wins their first game in the national college basketball tournament is related to the rank they have going into the tournament. This can be expressed by the equation y = -7.3x + 112 where x is their rank (out of 16) and y is the percent chance they have of winning their first game. a) What does the slope of the line represent? b) What does the y - intercept of this function represent? c) According to the model, a school ranked #5 has what probability of winning their first game? Round your answer to the nearest percent. d) Using this model, a school ranked #15 has what probability of winning their first game? Round your answer to the nearest percent. Please show work.

Answer 1

Kindly check explanation

Explanation:

Given that, probability of obtaining a first win is related rank by the equation : y = -7.3x + 112 ; where ; x = rank ; y = percentage chance

The slope of the line = -7.3 means that as the rank increases by 1, the probability of winning decreases by 7.3. (negative slope value)

y - intercept = 112, thus means an unranked team has a 112 percent Chance of winning first game.

C.) school ranked #5

x = 5

y = -7.3(5) + 112

y = - 36.5 + 112

y = 75.5 = 76%

D.) school ranked #15

x = 15

y = -7.3(15) + 112

y = - 109.5 + 112

y = 2.5 = 2.5%

y = 3%