Question

Mike and Tommy are both selling cookie dough for a fundraiser. Although Mike has already sold 10 tubs, Tommy hasn't sold any yet. If Mike starts selling 5 tubs per day and Tommy begins selling 10 tubs per day, they will eventually sell the same amount of cookie dough. 2 points for defining your x and y variables, write the words as an (x,y) coordinate pair.

Answer 1

Answer: (2;20)

x is the independent variable - number of days (2)

y is the dependent variable - number of tubes (20)

Explanation:

Hi to answer this we have to write an equation for each case.

The amount of cookie dough (y) that mike sells is equal to the sum of the 10 already sold tubes and the product of the tubes sold per day (5) and the number of days (x)

Mike ⇒y= 10 + 5x

Same process for Tommy

Tommy⇒ y= 10x

IF they sell l the same amount of cookie dough

y=y

So

10 + 5x =10x

10 =10x-5x

10=5x

10/5 = x

x = 2 days

They will sell the same amount of cookie dough after 2 days .

To find the amount sold in number of tubes, we simply replace the value of "y" by 2 in both equations.

y(2)= 10 + 5(2) = 10+10=20 tubes

y(2)= 10(2) =20 tubes

x is the independent variable - number of days

y is the dependent variable - number of tubes

Represented as an (x,y) coordinate pair. (2; 20)