Mom drove the 210 miles from home to the hotel in 3 hours, How many miles did she drive per hour?

Mom drove a distance d = 210 miles from home to the hotel in t =3 hours.

=> She drove with speed v = d/t = 210/3 = 70 (mile/hour)

Hope this helps!

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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:

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: