Shipping company IPS has shipping rates that are a function of the weight of the parcel. For packages weighing less than or equal to 6 pounds, they charge $ 0.5 per pound. For packages weighing between 6 and 17 pounds, they charge $ 2.25 per pound.

If packages weigh 17 pounds or more, they charge $ 3 per pound. IPS refuses to ship any parcel weighing more than 91 pounds.

There is also a flat fee of $ 3 for all deliveries and an additional fee of $ 3 for all deliveries weighing 17 pounds or more.

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:

4 + 5 7/9= 9 7/9

step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.