Question

a wedding planner is organizing the seating for a wedding. he can represent the number of rows by the function $f(x) = 13x$ and the number of seats in each row by the function $g(x) = 5x - 2$. which function represents the total number of seats? \bigcirc $65x + 26$ \bigcirc $65x - 26$ \bigcirc $65x^2 + 26x$ \bigcirc $65x^2 - 26x$

Explanation:

Step1: Understand total seats formula

Total seats = number of rows × seats per row, so we need to find \( f(x) \times g(x) \).
Given \( f(x) = 13x \) and \( g(x) = 5x - 2 \), so we calculate \( 13x \times (5x - 2) \).

Step2: Distribute the multiplication

Using the distributive property \( a(b - c)=ab - ac \), here \( a = 13x \), \( b = 5x \), \( c = 2 \).
So \( 13x \times 5x - 13x \times 2 \).

Step3: Calculate each term

\( 13x \times 5x = 65x^2 \) (since \( x \times x = x^2 \) and \( 13\times5 = 65 \)) and \( 13x \times 2 = 26x \).
Putting it together, we get \( 65x^2 - 26x \).

Answer:

\( 65x^2 - 26x \) (the last option: 65x² − 26x)