Jaxon swam 100 meters in 2 minutes 30 seconds. If each lap is 25 meters long which is most likely to be her time in seconds per lap

37.5 sec/lap

Step-by-step explanation:

2 m and 30 sec to sec equals 150 sec

each lap is 25 m

100 ÷ 25 = 4 laps

150 ÷ 4 = 37.5 sec per lap

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: the first graph

step-by-step explanation: