Jacob runs 5 miles in 1 1/2 hours Robert runs 3 miles in 45 minutes who runs faster

hence Robert runs at a faster speed

Step-by-step explanation:

1 1/2 hours = 3/2 hours = 1.5 hours

45 min = 45/60 = 3/4 = 0.75 hours

Jacob's speed = 5 miles ÷ 1.5 hours = 3.33 miles/hr

Robert's speed = 3 miles ÷ 0.75 hours = 4 miles/hr

hence Robert runs at a faster speed

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: