maston
Answered

A little more than 43 million households own dogs in the US. The rate of increase in dog ownership is 1.5% each year. Approximately how many households are expected to own dogs in 10 years, if this trend continues?



Answer :

43 million households own dogs.

What is 1.5% of that?

645,000.

You multiply this number by 10 for how many years it's being calculated.

This would be 6,450,000.

Add this number to 43 million (43,000,000) and you get 49,450,000.

Answer:  About 49.9 million are expected to own dogs in 10 years.

Step-by-step explanation:

The exponential growth equation is given by :-

[tex]y=A(1+r)^x[/tex], where A is the initial amount, r is the rate of increase and t is the number of time period.

Given : Initial amount is about 43 million.

Rate of increase per year : r= 1.5% = 0.015

Then , the number of households are expected to own dogs in 10 years is given by :-

[tex]y=43(1+0.015)^{10}=49.9032554761\approx49.9[/tex]

Hence, about 49.9 million households are expected to own dogs in 10 years.