a carpet 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