faithmadden188
Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The volume of a rectangular prism is a minimum of 25 cubic feet. The height of the prism is 3 feet more than its width, and its length is at most 5 feet more than the width.
Carla wrote this system of inequalities to represent this situation, where V is the volume of the prism and w is the width.

The Volume Of A Rectangular Prism Is A Minimum Of 25 Cubic Feet The Height Of The Prism Is 3 Feet More Than Its Width And Its Length Is At Most 5 Feet More Than class=

Sagot :

facundo3141592

Answer: Option C, she used the wrong symbol in the first inequality.

Step-by-step explanation:

For a rectangular prism of length L, width W and height H, the volume is:

V = L*W*H

We know that the volume of the prism is a minimum of 25 ft^3

Then:

V ≥ 25ft^3

We also know that:

"The height of the prism is 3 feet more than its width"

H = W + 3ft

"and its length is at most 5 feet more than the width"

L ≤ W + 5ft

Then we have the system:

V ≥ 25ft^3

H = W + 3ft

L ≤ W + 5ft

Now we can rewrite the volume as:

V = L*W*H

V = L*W*(W + 3ft)

Now we can replace L by the inequality L ≤ W + 5ft

Then we get:

V ≤ (W + 5ft)*W*(W + 3ft)

V ≤ W^3 + 8ft*W^2 + 15ft*W

Then the inequalities are:

V ≤ W^3 + 8ft*W^2 + 15ft*W

V ≥ 25ft^3

Then the error in Carla's system is the symbol of the first inequality, where Carla used "<" instead of "≤"

The correct option is C

Answer:

C

Step-by-step explanation:

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.