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.

$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

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°