For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.

8 0

2 years ago

Which pairs of variables have a linear relationship? Select

Neko [114]

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Suppose you are given cube with side length of x units.

Then

Side length = x units

Perimeter = 4x units

Area of 1 face $=x^2$ square units

Surface area $=6x^2$ square units

Volume $=x^3$ cubic units

A linear relationship is any equation that, when graphed, gives you a straight line.

Consider all options:

A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function $y=kx$ is a straight line.

B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation $y=kx^2$ .

C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation $y=kx^{\frac{3}{2}}$ .

D. Area of 1 face and surface area is a linear relationship, because the graph of the function $y=kx$ is a straight line.

E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation $y=kx^3$ .

6 0

3 years ago

Read 2 more answers