Question

Price of Airfare

900
800
700
600
500
400
300
200
100
0
0
Distance Traveled vs. Price of Airfare
from NYC
500
1000
Blank 1:
Blank 2:
Blank 3:
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Blank 5:
y = 200+ 0.30x
1500
Distance
Traveled
Word Bank:
200 800 1000 30 y=50+0.30x y=30+0.50x
2000
Consider the data shown on the graph:
The y-intercept represents the base price of $
The slope represents a cost of
cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC
would pay $
for their airfare
2500
According to the equation given, someone who paid $500 for airfaire from NYC
would have traveled
miles.
for airfare from NYC..
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the
new equation would be

Answer 1

The completed statements are:

The y-intercept represents the base price of $200.

The slope represents a cost of 30 cents per mile traveled.

According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their airfare. (y = 200 + 0.30x, where x is the distance traveled in miles)

According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1,000 miles. (500 = 200 + 0.30x, solving for x gives x = 1,000)

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x. (The slope remains the same, while the y-intercept changes to 50.)

Note that the statement "According to the equation given, someone who traveled 2000 miles from NYC would pay $2500 for their airfare" is incorrect. The correct calculation using the given equation y = 200 + 0.30x is:

y = 200 + 0.30(2000) = 800

Therefore, someone who traveled 2000 miles from NYC would pay $800 for their airfare.