What does it mean to say that a function is linear?

1 answer:

7 0

A function is linear if:

B. The function can be described by an equation of the form y = mx + b.

C. The function has a constant rate of change.

D. The function has a straight-line graph.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

A linear function has a constant rate of change (either increasing or decreasing).

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g100num [7]

Its 9 the answer shld be 9 because 9/12 equals 3/4 i think

6 0

3 years ago

Zielflug [23.3K]

Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:

Water ride is at point (3,8).
Roller coaster is at point (27,40).
The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>

$x = \frac{3 + 27}{2} = 15$

$y = \frac{8 + 40}{2} = 24$

The location point of the Ferris wheel is (15,24).

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

$D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20$

They need to walk 20 units.

Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
The distance is of 20 units, thus:

$(3 + 20, 8) = (23,8)$