High School

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An airline charges $150 for a ticket and $20 for each bag.

Which equation shows the relationship between the number of bags, \( b \), and the total cost, \( c \), for flying with this airline?

A. \( b = 20c + 150 \)

B. \( b = 20 + 150c \)

C. \( c = 20b + 150 \)

D. \( c = 20 + 150b \)

Answer :

Answer:

The equation shows the relationship between the number of bags, b, and the total cost, c, for flying with this airline is:

C = 20b + 150

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

  • m is the rate of change or slope
  • c is the y-intercept

Given that an airline charges $150 for a ticket. It means the initial condition is $150.

Therefore, the y-intercept c = 150.

Given that an airline charges $20 for each bag. It means the rate of change is $20 for each bag.

Therefore, the rate of change or slope m = 20

Let 'C' be the total cost and 'b' be the number of bags.

Thus, substituting y = C, x = b, m = 20 and c = 150

y = mx + c

C = 20b + 150

Therefore, the equation shows the relationship between the number of bags, b, and the total cost, c, for flying with this airline is:

C = 20b + 150

Hence, option C is correct.

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