Question

Write a function to model the situation.

a digital image is reduced or enlarged by dragging the corner. the height to width ratio is always maintained as that the width is 1.25 times the height. write a function to model the area of the image as a function of its height.

please help and thank you !!​

Answer 1

a(h) = 1.25h²

Explanation:

The formula for the area of a rectangle is ...

A = HW . . . . . where H represents the height and W represents the width

If the image has a height of h, then the width is 1.25 times that, or 1.25h. Putting these values into the formula, we have ...

A = h·(1.25h)

A = 1.25h²

In function form, we can write a(h), area as a function of height, as ...

a(h) = 1.25h²