Question

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=7.5x. The installation fee is $100 more than 5% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 150 square feet of carpet.

Answer 1

Answer:

Refer below

Step-by-step explanation:

Installation fee equation will be added onto the original equation

So g = base cost + percent cost + $100

(Cost of carpet) ---> g = $7.5x + ($7.5x * 0.05) + $100

Plug in 150 into the formula that gives you $1281.25

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Answer 2

Answer: $156.25

Step-by-step explanation:

You need to find the cost of the carpet. Then, to find the service fee, take 5% of the carpet cost. After that, add 100 to that product.

Step 1: Set the value of x to the number of square feet.

x = 150

f(150) = 7.5 * 150.

Step 2: Multiply

7.5 * 150 = 1125

Step 3: Find 5% of 1125.

5% = 0.05

0.05 * 1125 = 56.25

Step 4: Add 100 to the product.

56.25 + 100 = $156.25