Question

Cost ($) Area (ft) 500 400 750 600 1,000 800 Carpeting that costs $22 for every 3 square yards A wood deck quoted at a bulk cost for 25 square feet Asphalt sealant that is quoted at a set price per square foot, plus a labor fee

1,600+ 1.200+
Cost (5) (0,0) 80 20 Area (yd) Mulch that costs a set amount to cover a square foot
Not Enough Information Cost Is Proportional to Area Cost Is NOT Proportional to Area

a) Carpeting
b) Wood deck
c) Asphalt sealant
d) Mulch

Answer 1

The cost is proportional to the area in the case of a wood deck and asphalt sealant, but not for carpeting due to variations in cost as area increases.

Step-by-step explanation:

The subject of this question is Mathematics and the grade level is Middle School.

To determine whether the cost is proportional to the area for each given option, we need to compare the different costs and areas. If the cost increases or decreases by a consistent factor as the area increases or decreases, then the cost is proportional to the area.

a) The cost of carpeting increases by $250 as the area increases by 200 square feet. Therefore, the cost is not proportional to the area.

b) The cost of a wood deck is quoted at a bulk cost for 25 square feet. Since the cost remains the same regardless of the area, it is proportional to the area.

c) The cost of asphalt sealant is quoted at a set price per square foot, plus a labor fee. The cost increases with the area, so it is proportional to the area.

d) Not enough information is provided to determine if the cost of mulch is proportional to the area.