Question

The height, in inches, of each of three boys is 54.0, 48.5, and 46.0, respectively. The height of a fourth boy is represented by h inches. The average height, A if the four boys can be expressed as a function of h in the form A(h)= (c+h)/d, where c and d are constants. What are the values of c and d?

Answer 1

c= 148.5

d=4

Explanation:

At the start, there are three boys and we have each of their height measurements. The average for the three boys is (54+48.5+46)/3 = 148.5/3 = 49.5

Then we get the fourth boy and want to calculate the new average. The average is calculated by dividing the sum of all the boy's height with the total number of boys.

If the fourth boy height is h, then the sum of all boys height will be:54+48.5+46 + h = 148.5 + h

The total number of boys is 4, so we divide the sum with 4. The new average will be

A(h)= (148.5 + h)/4

As you can see, the value of c= 148.5 and d=4