As a logistics coordinator, you are programming a spreadsheet macro to calculate projected storage costs based on the number of cargo crates, $c$. The calculation requires expanding the cost model expression $(3c + 4)(5c - 2)$. Arrange the mathematical steps in the correct order to recall how to expand this expression using the distributive property.

A manufacturing supervisor is calculating the surface area of a component described by the product of two binomials: $(3c + 4)$ and $(5c - 2)$. To expand this expression using the distributive property, each term in the first binomial must be multiplied by each term in the second. Match each multiplication step with its resulting term.

A facility manager is calculating the floor area of a workspace defined by the product of two binomials: $(3c + 4)$ and $(5c - 2)$. When using the distributive property to expand and simplify this expression, which polynomial correctly represents the area?

An electrical contractor is expanding the expression $(3c + 4)(5c - 2)$ to calculate the total power load for a project. According to the distributive property method, the first step in expanding this product is to rewrite it as ${}3c(5c - 2) + 4(5c - 2)$.

A shipping coordinator is expanding the weight formula $(3c + 4)(5c - 2)$ to determine a truck's total load capacity. According to the distributive property method, the coordinator first treats the entire second binomial $(5c - 2)$ as a single unit and distributes it to each term in the first binomial. Fill in the blank to complete the expression for this initial step: ${}3c(5c - 2) +$ ____.

Projected Revenue Model Expansion

Standardizing Material Cost Calculations