Flooring City is running a limited time special on carpeting. The cost to have your home carpeted is $100 per room and a $50 flat fee for installation.

Question

Part III: Using your equation from Part I, determine how much it would cost to have 4 rooms carpeted by Flooring City. Show ALL your work.

Part 1: The cost per room is $100 since r is the number of rooms. And the installation fee is $50. Now we have to find c, which is the total cost. The equation I will be using is slope intercept form, where mx is 100r and b is 50. c = 100r + 50

Answer 1

To find the total cost \( c \) to have 4 rooms carpeted by Flooring City, we can use the equation you created in Part I:

\[ c = 100r + 50 \]

Where:

• \( c \) = total cost
• \( r \) = number of rooms
• $100 is the cost per room
• $50 is the flat installation fee

Now, we need to substitute \( r = 4 \) (since we want to know the cost for 4 rooms):

\[ c = 100(4) + 50 \]

Now, let's calculate it step by step:

1. Calculate \( 100 \times 4 \):

   \[ 100 \times 4 = 400 \]

2. Add the flat installation fee of $50:

   \[ 400 + 50 = 450 \]

So, the total cost to have 4 rooms carpeted by Flooring City is:

\[ c = 450 \]

Thus, the total cost is $450.