Question

Hi, this question is in calculus. I am trying to write an equation in slope-intercept form about data usage that increase in 32.5 million every 4 years.

Answer 1

we have an increase of 32.5 million every 4 years.

Then the increase per year is:

32.5 mill/4y = 8.125 million per year.

then if we define the variable x, as the number of years, we can write the linear equation as:

y = x*8.125 million/year + b

where b is the initial amount, that is not shown in the question, so i will just leave it like that.

You can see that when we have x = 4 years we have:

y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.

Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.