Question

According to the model, which of the following is the predicted number of homes, in thousands, with access to a telephone in Arkansas in 1990?5069686741

Answer 1

`C.686`

Step-by-step explanation

We want to find the predicted number of homes in Arkansas with access to telephones in 1990.

The function that represents the number of homes with access to telephones in Arkansas is:

`A(x)=25.0x+61.0`

where x = number of years after 1965.

First, we have to find how many years after 1965 that 1990 is.

That is:

`\begin{gathered} 1990-1965 \\ 25\text{ years} \end{gathered}`

That is x.

Therefore, we have to find A(x) when x is 25.

That is:

`\begin{gathered} A(25)=25.0(25)+61.0 \\ A(25)=625.0+61.0 \\ A(25)=686 \end{gathered}`

That is the answer.