Finite Math Examples

$D (p) = 2024 - 50 p$ , $S (p) = 180 p - 506$

Step 1

Set up the composite result function.

$D (S (p))$

Step 2

Evaluate $D (180 p - 506)$ by substituting in the value of $S$ into $D$ .

$D (180 p - 506) = 2024 - 50 (180 p - 506)$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$D (180 p - 506) = 2024 - 50 (180 p) - 50 \cdot - 506$

Step 3.2

Multiply $180$ by $- 50$ .

$D (180 p - 506) = 2024 - 9000 p - 50 \cdot - 506$

Step 3.3

Multiply $- 50$ by $- 506$ .

$D (180 p - 506) = 2024 - 9000 p + 25300$

Step 4

Add $2024$ and $25300$ .

$D (180 p - 506) = - 9000 p + 27324$