Atownship office estimates that the amount of trash on a road grows exponentially at a rate of 40% per month if it is not cleaned up. the township also estimates that there are 300 pounds of trash on its main road.

enter the number of pounds of trash after 3 months.
pounds

823 pounds of trash. ( approx )

Step-by-step explanation:

Since, the exponential growth function is,

Where,

P = initial value,

r = growth rate per period,

t = number of periods,

Here, P = 300 pounds, r = 40% = 0.4, t = 3 months,

Thus, the quantity of trash after 3 months,

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.