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.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752