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.

Kindly check explanation

Step-by-step 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%

207/8 is the right

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: