There are 140 people in a singing competition. The graph shows the results for the first five rounds

a) The expression is y = 140 - 15 x

b ) There are 5 participants in the 9th round

Step-by-step explanation:

Step 1 :

From the graph we can see that,

Number of people in the singing competition = 140

Number of people in the first round = 125

Number of people in the second round = 110

Number of people in the third round = 95

Number of people in the fourth round = 80

Number of people in the fifth round = 65

Step 2 :

From the given data, We can get that the difference between the number of people participating in each round is 15 less than the previous round .

The first round has 15 people less than the total number 140

Let x represent the number of the round and y represent the number of people participating in each round .

Then the expression to represent this would be

y = 140 - 15 x

Step 3 :

To find the number of participants in the 9th round given the same pattern continues.

For the 9th round x = 9, as x represents the number of the round

Substituting this in the equation obtained in step 2, we get

y = 140 -15 (9) = 140 - 135 = 5

There are 5 participants in the 9th round

Step 4 :

Answer :

a) The expression is y = 140 - 15 x

b ) There are 5 participants in the 9th round

.

step-by-step explanation:

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17