Question

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 1

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.

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

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.