The overall cost of carpet and installation from a particular company is represented by the function, where x represents the square footage of the carpet. p(x) = $2.90x + $103.00 what is the average rate of change over the interval [2,000, 2,500]? a. $2.90 per square foot b. $4.85 per square foot c. $0.34 per square foot d. $1.03 per square foot

The function is linear, so its rate of change is the same everywhere. That rate of change is the coefficient of the variable x, so is $2.90. Since the units of x are feet, and the units of P(x) are dollars, the rate of change $2.90 must be ...

... A. $2.90 per square foot

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

one set of data has more variation than the other. hope this !