Question

The total cost to install new bathroom floor tile depends on a number of variables:

Tile costs $p per square foot.

The bathroom measures A square feet.

Labor costs $L per hour. The job takes N hours.

There is a flat-rate charge M for trim work around the edges of the floor.

Write an expression for the total cost in terms of these variables. Is this expression linear in L?

Answer 1

labour cost is $ L per hour and job takes N hours

cost of work = LN

tile cost = $ p per square feet

bathroom = A square feet

cost = pA

expression for total cost = pA + LN + M

the expression is not linear in L