A floor refinishing company charges $1.91 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $250 for toxic waste disposal for any job which includes more than 150 square feet of tile.
(a) Find an equation for the amount C (in dollars) they will charge to refinish a floor which is x square feet when x≤150.
C(x)=
(b) Find an equation for the amount C (in dollars) they will charge to refinish a floor which is x square feet when x>150.
C(x)=
(a) When x≤150, the amount C (in dollars) they will charge to refinish a floor can be calculated using the formula C(x) = $1.91 per square foot multiplied by the number of square feet, which is x. Since x is less than or equal to 150, the equation becomes:
C(x) = $1.91 * x
Therefore, the equation for the amount C (in dollars) they will charge to refinish a floor which is x square feet when x≤150 is:
C(x) = $1.91x
(b) When x>150, there is an additional charge of $250 for toxic waste disposal. So, in addition to the cost calculated based on square footage, we need to add $250 to the final amount. Again, the formula for the amount C (in dollars) they will charge to refinish a floor is:
C(x) = $1.91 * x
But this time, when x>150, we need to include the additional $250 charge. Therefore, the equation becomes:
C(x) = $1.91x + $250
Hence, the equation for the amount C (in dollars) they will charge to refinish a floor which is x square feet when x>150 is:
C(x) = $1.91x + $250