Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?

1 pound

Step-by-step explanation:

Given the cost function of two domestic courier services.

We want to determine the weight (x) at which the costs (y) will be the same.

Since y=4x+1 and y=3x+2, then:

4x+1=3x+2

4x-3x=2-1

x=1 pound

When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.

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step-by-step explanation:

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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.