Question

I need help with some questions the first picture is the information we need to use to answer the questions

Answer 1

Given:

Ernest's schedule:

`1,1.25,1.5,1.75,.......`

Denise's schedule:

`1,1.5,2,2.5,........`

Required:

To calculate the distance we'll be swimming inthe 10th week for each schedule.

Step-by-step explanation:

The nth term of the arithmetic sequence can be calculated by using the formula,

`a_n=a+(n-1)d`

Now consider the Ernest's schedule:

`1,1.25,1.5,1.75,.....`

Here,

`\begin{gathered} a=1 \\ d=0.25 \\ n=10 \end{gathered}`

Therefore, the distance we'll be swimming inthe 10th week for the Ernest's schedule is,

`\begin{gathered} =1+(10-1)0.25 \\ =1+(9)0.25 \\ =1+2.25 \\ =3.25 \end{gathered}`

Now consider the Denise's schedule:

`1,1.5,2,2.5,......`

Here,

`\begin{gathered} a=1 \\ n=10 \\ d=0.5 \end{gathered}`

Therefore, the distance we'll be swimming inthe 10th week for the Deniese's schedule is,

`\begin{gathered} =1+(10-1)0.5 \\ =1+(9)0.5 \\ =1+4.5 \\ =5.5 \end{gathered}`

So, the Deniese plan is better.

Final Answer:

Deniese plan is better.