MHB How Much Does the Dessert Store Make from Three Muffins and Four Cakes?

[Asawira Emaan]

Asalamoalaikum!
I was doing Algebra problems on Khan Academy. This problem isn't getting solved. Please help me with this.

"The expression 2m + 10c gives the amount of money, in dollars, a dessert store makes from selling mmm muffins and ccc cakes.
How much money does the dessert store make from selling three muffins and four cakes?"

 

[MarkFL]

Asalamoalaikum!
I was doing Algebra problems on Khan Academy. This problem isn't getting solved. Please help me with this.

"The expression 2m + 10c gives the amount of money, in dollars, a dessert store makes from selling mmm muffins and ccc cakes.
How much money does the dessert store make from selling three muffins and four cakes?"

The given expression is a mathematical set of instructions for computing an amount. It tells us to multiply the number of muffins sold by 2, and to multiply the number of cakes sold by 10, and then to add these two products to get the total. We could say the amount \(A\) is a function of the number of muffins sold \(m\) and the number of cakes sold \(c\), and state it as follows:

$$A(m,c)=2m+10c$$

And so, given numeric data for the two variables \(m\) and \(c\), we may compute a number for \(A\):

$$A(3,4)=2(3)+10(4)=6+40=46$$

And so we conclude that by selling 3 muffins and 4 cakes, the store makes 46 dollars.

Does this make sense?

 

[Asawira Emaan]

The given expression is a mathematical set of instructions for computing an amount. It tells us to multiply the number of muffins sold by 2, and to multiply the number of cakes sold by 10, and then to add these two products to get the total. We could say the amount \(A\) is a function of the number of muffins sold \(m\) and the number of cakes sold \(c\), and state it as follows:

$$A(m,c)=2m+10c$$

And so, given numeric data for the two variables \(m\) and \(c\), we may compute a number for \(A\):

$$A(3,4)=2(3)+10(4)=6+40=46$$

And so we conclude that by selling 3 muffins and 4 cakes, the store makes 46 dollars.

Does this make sense?

Thanks a lot. Finally Khan Academy accepted my answer.