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

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

where

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.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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