Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for
the hiker's elevation is y = 9.68x + 647, where x represents the number of
minutes and y represents the hiker's elevation in feet. Use the equation of the
trend line to estimate the hiker's elevation after 175 minutes.

Step-by-step explanation:  

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  

4

to the previous term in the sequence gives the next term. In other words,  

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

4

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of  

a

1

=

2

and  

d

=

4

.

a

n

=

2

+

(

4

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

2

+

4

n

−

4

Subtract  

4

from  

2

.

a

n

=

4

n

−

2