Question

A local deli kept track of the sandwiches it sold for three months. The polynomials below model the number of sandwiches sold, where s represents days. Ham and Cheese: 4s^3-28s^2+33s+250Pastrami: -7.4s^2+32s+180Write a polynomial that models the total number of these sandwiches that were sold.

Answer 1

we are given that the following polynomials model the number of sandwiches sold per day:

`\begin{gathered} HC=4s^3-28s^2+33s+250 \\ P=-7.4s^2+32s+180 \end{gathered}`

The total amount of sandwiches is equivalent to the sum of both polynomials:

`4s^3-28s^2+33s+250-7.4s^2+32s+180`

Associating like terms:

`4s^3+(-28s^2-7.4s^2)+(33s+32s)+(250+180)`

Adding like terms:

`4s^3-35.4s^2+65s+430`

Since we can simplify any further, this is the polynomial that models the total amount of sandwiches.