Question

Based on the model, which of the following is the best estimate for the number of years after 1965 that the number of homes with access to a telephone is the same for Arkansas and North Dakota?16116984

Answer 1

The estimate for the number of years after 1965 that the number of homes with access to a telephone is the same for Arkansas and North Dakota is 4 years.

EXPLANATION:

Where x is the number of years after 1965;

Number of home with access to a telephone is the same when A(x)=D(x);

`\begin{gathered} A(x)=D(x) \\ 25.0x+61.0=2.5x+149.5 \\ 25.0x-2.5x=149.5-61.0 \\ 22.5x=88.5 \\ x=(88.5)/(22.5) \\ x=3.9 \\ \end{gathered}`

Thus, the number of years is approximately 4 years.