Select all of the situations that represent a linear relationship between x and y.
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total area, in square meters, y, of a square garden if the side length is x meters
the total miles, y, traveled by a car going 62 miles per hour in x hours

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is

Here, side is 'x' and area 'y' will be .

This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is a linear relation.

3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

When x = 1

When x = 2

=>

When y = 3

=>

This is also linear in nature.

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