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Algebra 1
> 0.9 Solve a system of equations using substitution: word problems US9
Learn with an example
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Barry and Devon are both selling cookie dough for a fundraiser. Although Barry has already
sold 5 tubs, Devon hasn't sold any yet. If Barry starts selling 2 tubs per day and Devon
begins selling 3 tubs per day, they will eventually sell the same amount of cookie dough. How
many days will that take? How many tubs will each sell?
In
days, each will sell
tubs of cookie dough.
Submit

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:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !