at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.

T=3r+20 for the children and T=4r+28 for the adults

Step-by-step explanation:

Let r equal the amount of rides the person took, let T equal the total cost of the trip

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: