Answer:
(6) 1200 square feet
(7) 49 months
Step-by-step explanation:
Let the area of the living room be x square feet. Since the material cost is fixed as $2840 and cost ler square feet provided as $1.9 while and the total cost is given as $5120 then the the problem can be represented as
1.9x+$2840=$5120
Putting like terms together then
1.9x=$5120-$2840=$2280
Making x the subject of the above, by dividing both sides by 1.9 then
X=2280/1.9=1200 square feet.
Therefore, area is 1200 square feet.
(7)
Let the number of months when cost are similar be y.
For satelite option, since fixed cost of $298.9 is charged then monthly rate is $68.7 it means after y months, the expenditure for this plan will be 68.7y+$298.9
For cable option, since it only charges monthly fee of $74.80 then after y months, the expenditure amounts to 74.80y
Since after y months the expenses are same, then we equate both options to be equal. Therefore,
74.80y=68.70y+298.90
Putting like terms together then
74.80y-68.70y=298.90
6.1y=298.90
Dividing both sides by 6.1 to make y the subject then
Y=298.9/6.1=49 months
