A corporate payroll analyst uses the expression ${}100(0.04 + 0.35d)$ to calculate a cost-of-living adjustment, where $d$ represents the number of dependents. To simplify the formula for an internal database, the analyst applies the distributive property to clear the decimals. Which of the following expressions represents the simplified, integer-based version of this formula?

Clearing Decimals in a Cost Formula

A logistics coordinator uses the expression ${}100(0.04 + 0.35d)$ to calculate shipping surcharges, where $d$ represents the delivery distance. To clear the decimals for a digital manifest, the coordinator applies the distributive property. Match each value or expression below to its correct role or result in this simplification process.

A logistics coordinator uses the expression ${}100(0.04 + 0.35d)$ to calculate fuel surcharges. To simplify the formula for a digital report, the coordinator multiplies both terms inside the parentheses by 100. In the resulting simplified expression, the coefficient of $d$ is ____.

A payroll analyst is simplifying the expense formula ${}100(0.04 + 0.35d)$ for a quarterly report. By distributing the 100 to every term inside the parentheses to clear the decimals, the analyst correctly arrives at the simplified version ${}4 + 35d$.

An operations assistant at a logistics center uses the expression ${}100(0.04 + 0.35d)$ to compute daily processing surcharges, where $d$ represents the shipping distance in miles. To make calculations faster and eliminate decimal errors for the data-entry team, the assistant wants to simplify this expression by applying the distributive property to clear the decimals. Arrange the steps of this mathematical simplification process in the correct chronological order from start to finish.

Documenting Decimal Clearance in Logistics Cost Formulas