Acarpet store charges $20 per square yard of carpet after an initial installation fee a customer paid $800 for 30 square yards. 1 .write an equation that gives the total cost y a buying and installing a carpet as a function of area x of the room in square yards. 2.find the total cost of buying and installing 55 square yards of carpet

y=800+(X-30)20 and cost=$1300

Step-by-step explanation:

Given a carpet store charges $20 per square yard of carpet after an initial installation fee a customer paid $800 for 30 square yards. we have to find the equation that gives the total cost y a buying and installing a carpet as a function of area X of the room in square yards.

It is given that total area is X square yards. Out of X for 30 square yards customer paid $800 as initial installation fee.

∴ Remaining (X-30) square yards as per store charges gives the cost $20(X-30)

Hence, the equation that gives the total cost y a buying and installing a carpet as a function of area X of the room in square yards is

y=800+(X-30)20

Now, total cost of buying and installing 55 square yards of carpet i.e X=55 square yards is

y=800+(55-30)20=$1300