Which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?

Graph number 2 is the correct option.

Step-by-step explanation:

We have to plot a graph that shows the relationship between number of minutes and number of minutes that gym member spend on the treadmill.

In graph 1, relation between number of members and calories burnt has been plotted. Therefore, incorrect option.

In graph 2, Input is time (in minutes) and calories burnt is output which shows the correct graph.

In graph 3, Input is always on the x - axis and output should be always on y - axis. Therefore the given graph number 3 is incorrect.

In graph 4, relation between members and calories bunt have been plotted which is not as per scatterplot to be plotted.

Therefore, 4th graph is also incorrect.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺