Christine is buying a picture package from Fabulous Photos. What is the rate of change?

A) $0.75 per picture
B) $2 per picture
C) $3 per picture
D) $4 per picture

Christine is buying a picture package from Fabulous Photos What is the rate of change A 075 per picture B 2 per picture C 3 per picture D 4 per picture class=

Respuesta :

Option C:

The rate of change is $3 per picture.

Solution:

Rate of change is same as the slope of the line.

Take any two points on the graph.

(0, 20) and (20, 80) are two points on the line of the graph.

[tex]x_1=0, y_1=20, x_2=20, y_2=80[/tex]

Slope of two points formula:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{80-20}{20-0}[/tex]

[tex]$m=\frac{60}{20}[/tex]

[tex]$m=\frac{3}{1}[/tex]

m = 3

The rate of change is $3 per picture.

Hence option C is the correct answer.