Consider the data shown on the graph: (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a) The y-intercept represents the base price of $ Response area for airfare from NYC. b) The slope represents a cost of Response area cents per mile traveled. c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $Response area for their airfare. d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled Response area miles. e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be Response area.

The equation presented in the image is: 'y = 200 + 30x'

Responses:

y = 50 + 0.30x
y = 30 + 0.50x
800
1000
30
200

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

Based on the equation \( y = 200 + 30x \), let's determine the responses for each part:

a) The y-intercept represents the base price of $ 200 for airfare from NYC.

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

c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $ 800 for their airfare. (Calculation: \( y = 200 + 30(2000) = 200 + 60000 = 60200 \))

d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles. (Calculation: Set \( y = 500 \): \( 500 = 200 + 30x \) → \( 300 = 30x \) → \( x = 10 \))

e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 30x.

Now you can fill the responses as follows:

a) 200
b) 30
c) 800
d) 1000
e) y = 50 + 30x