6. The relation C = 8.00 + 0.50T represents the cost of a pizza in dollars. T represents the number of toppings ordered.
a) Write an equation that represents a $10 order.
b) Solve the equation in a) to determine the number of toppings.
Show all steps.

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:

what is the original number? you forgot to add it.

answer is x<