Students can use the **Spectrum Math Grade 8 Answer Key** **Chapter 4 Lesson 4.8 Analyzing Function Graphs**Â as a quick guide to resolve any of their doubts.

## Spectrum Math Grade 8 Chapter 4 Lesson 4.8 Analyzing Function Graphs Answers Key

Models of real-life situations can be drawn on non-specific graphsâ€”or ones without titles or labeled x and y axesâ€”in order to see the relationship between two variables that are being examined along different points.

**Situation:**

Mike rides a bike to Sam’s house. When he arrives, he and Sam wait for Sam’s mom who then drives them to the bus stop. Sam and Mike wait for the bus, and then get on the bus, which then takes them to school.

**Relationships:**

Mike travels at a constant rate to Samâ€™s house (A).

Mike and Sam do not travel while they wait for Samâ€™s mom to drive them to the bus stop (B).

Samâ€™s mom takes Mike and Sam to the bus stop (C).

Mike and Sam do not travel while they are waiting at the bus stop (D).

Mike and Sam appear to travel at the same constant rate both in the car and on the bus (E).

**Use the situation and graph to describe 3 relationships that exist in each function.**

Question 1.

Situation:

An amusement park is open from April to November each year. The graph shows the number of visitors it receives.

Relationships:

_____________________

_____________________

_____________________

_____________________

_____________________

Answer:

Relationships:

1. The biggest increase in the visitors was between the months 2 and 3.

2. The number of visitors was at its greatest in 5th month.

3. The number of visitors increased until 5th month and then decreased.

Explanation:

The above Situation is about the visitors of an amusement park April to November each year. The above graph shows the number of visitors it receives in each month.

We observe that the biggest increase in the 5th month.

Question 2.

Situation:

Grace is studying words for a spelling bee. She has 4 weeks to learn as many as she can.

Relationships:

_____________________

_____________________

_____________________

_____________________

_____________________

Answer:

Relationships:

1. Grace learned the words quickly in the first week.

2. As time increases she learned fewer new words.

3. By the end of her study period she was learning very few new words.

Explanation:

The above given situation is that,

Grace is studying words for a spelling bee.

She has 4 weeks to learn as many as she can.

Initial weeks she learnt very quickly, but we observe the graph that by the end of her study period she was learning very few new words.

Question 3.

Situation:

A family is taking a 500 mile trip to visit family.

Relationships:

_____________________

_____________________

_____________________

_____________________

_____________________

Answer:

Relationships:

1. The family moved at a constant pace, but more slowly at the beginning of the trip.

2. The family stopped moving during the middle of the trip.

3. The family moved at almost the same pace just before they stop.

Explanation:

The above given situation:

A family is taking a 500 mile trip to visit family.

We observe the movement of the family by the graph given above.