High School

The equation [tex]a = \frac{13}{25}p[/tex] 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 ______ pounds of topsoil.

Answer :

Final answer:

Caleb needs to order 325 pounds of topsoil to cover an area of 169 square feet.

Explanation:

To determine the pounds of topsoil Caleb needs to order to cover an area of 169 square feet, we can use the equation a = (13/25)p, where a represents the area covered in square feet and p represents the pounds of topsoil. We need to solve for p when a = 169:

a = (13/25)p

169 = (13/25)p

To solve for p, we can multiply both sides of the equation by the reciprocal of 13/25, which is 25/13:

(25/13)(169) = (25/13)(13/25)p

p = 325

Caleb needs to order 325 pounds of topsoil to cover an area of 169 square feet.

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