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

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls