On a road trip, Lota drives 55 miles each hour. The table below shows how far she travels each hour. h hrs of driving 1 2 3 4 5 6
m miles completed 55 110 165 220 275 330
Which equation represents the relationship between h, the number of hours she drives and m the number of miles she completes?

m = h/55
m = 55/h
m = 55h
m + h = 55

I believe the answer is M=55/h

m = 55h

Step-by-step explanation:

m= 55h or

h*55=m

1*55=55

2*55=110

3*55=165

4*55=220

5*55=275

6*55=330

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: