Ben and winston are both selling cookie dough for a fundraiser. Although ben has already sold 10 tubs, Winston hasnt sold any yet. If ben starts selling 8 tubs per day and Winston begins selling 9 tubs per day, they will eventually sell the same amount of cookie dough. how many days will that take  ?

Step-by-step explanation:

On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.

After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.

Therefore we can write the following equation:  (Where d = number of days)

B = 10 + 8d

W = 0 + 9d = 9d

We are told that eventually they will sell the same amount which means

B = W

This means we can say,

10 + 8d = 9d

If we subtract 8d from both sides we get

10 = d

Therefore it will take 10 days for them to sell the same amount of cookie dough.

10 days

10 + 8 x 10 = 90

9 x 10 = 90.

It will take 10 days for Ben and Winston to sell the same amount of cookie dough.

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:

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.