Question

1. caleb is a landscaper. he knows that for every 25 pounds of topsoil he orders he can cover an area of 13 square feet. the equation $a = \frac{13}{25}p$ models the relationship between the pounds of topsoil and the area covered in square feet. determine the pounds of topsoil caleb needs to order to cover an area of 169 square feet. to cover an area of 169 square feet, caleb needs to order dropdown pounds of topsoil.

Explanation:

Step1: Substitute \( a = 169 \) into the equation

We have the equation \( a=\frac{13}{25}p \). Substitute \( a = 169 \) into it, we get \( 169=\frac{13}{25}p \).

Step2: Solve for \( p \)

Multiply both sides of the equation by \( \frac{25}{13} \) to isolate \( p \). So \( p=169\times\frac{25}{13} \). First, calculate \( 169\div13 = 13 \), then \( 13\times25=325 \).

Answer:

325