Question

Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is currently at 32 in 2014. Find an equation in point slope form that models the population growth and predict the number of horses in 2020.

Answer 1

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years  the family increased by 32 - 24 = 8.

So the  constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

=  (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.