Question

A kilogram of potatoes cost $25.A dozen bananas cost $40.

a) Write an algebraic expression for the total cost of n kilograms of potatoes and one dozen bananas.

b) Evaluate your expression to determine the cost of 15kg of potatoes and one dozen bananas​

Answer 1

a) T = 25n + 40

b) T = $415

Explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!