Respuesta :

Answer:

a) $80

b) $8

Step-by-step explanation:

a) The cost of the connection fee will be the y-intercept of the graph because that represents the price when no minutes (t = 0) have been used. We can identify the y-intercept, and connection fee, as:

[tex]\dfrac{2}{5} \times \$200 = \boxed{\$80}[/tex]

b) The cost per minute is how much the graph increases each minute, otherwise known as the slope:

cpm = slope = rise / run

[tex]\text{cpm} = \dfrac{\left(\dfrac{14}{15} \times \$600\right) - \$80}{60 - 0}[/tex]

[tex]\text{cpm} = \dfrac{\$560 - \$80}{60}[/tex]

[tex]\text{cpm} = \dfrac{\$480}{60}[/tex]

[tex]\text{cpm} = \boxed{\$8}[/tex]