Consider the data shown on the graph:
The y-intercept represents the base price of $ for airfare from NYC..
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
According to the equation given, someone who paid $500 for airfaire from NYC would have traveled miles.
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be
Word Bank:
y=50+0.30x y=30+0.50x 30 200 800 1000
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Blank 1: $50 or 50
Blank 2: 30 cents or 0.30
Blank 3: $800 or 800
Blank 4: 1000 miles
Blank 5: y=50+0.30x
Is that the answer
Yes, those are the answers to the blanks.
To fill in the blanks, let's analyze the information given.
The statement "The y-intercept represents the base price of $" suggests that the y-intercept is the starting point for the equation. In this case, the base price is represented by the value of $.
Since the slope represents a cost of "x cents per mile traveled," we can assume that the slope represents the cost per mile in cents. Let's label the slope as "0.30x", where 0.30 represents the cost in cents and x represents the number of miles traveled.
Now, let's use this information to answer the given questions.
Question 1: "According to the equation given, someone who traveled 2000 miles from NYC would pay $ for their airfare."
To determine the cost for someone who traveled 2000 miles, we need to substitute the value of x (2000) into the equation. Thus, the equation becomes: y = $ + 0.30 * 2000.
Since we don't have the specific value of the base price ($), we cannot calculate the final cost. Therefore, Blank 1 remains empty.
Question 2: "According to the equation given, someone who paid $500 for airfare from NYC would have traveled miles."
To determine the number of miles someone traveled when they paid $500, we need to isolate x in the equation. Rearranging the equation gives us: 0.30 * x = $ - 500. By dividing both sides by 0.30, we get: x = ($ - 500) / 0.30.
Since we don't have the specific value of the base price ($), we cannot calculate the exact number of miles. Therefore, Blank 2 remains empty.
Question 3: "If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be "
Since the base cost for airfare changed to $50, we can substitute this value into the equation. The new equation becomes: y = $50 + 0.30x.
The relationship between the base cost and the cost per mile remains unchanged. Therefore, the new equation is y = $50 + 0.30x, filling in Blank 3.
Question 4: "someone who traveled 2000 miles from NYC would pay $ for their airfare."
We can now use the new equation, y = $50 + 0.30x, and substitute x = 2000. The equation becomes: y = $50 + 0.30 * 2000.
By simplifying the equation, we find that y = $50 + 600 = $650. Therefore, someone who traveled 2000 miles from NYC would pay $650 for their airfare. This fills in Blank 4.
Question 5: "someone who paid $500 for airfare from NYC would have traveled miles"
Using the new equation, y = $50 + 0.30x, we can isolate x by subtracting $50 from both sides: 0.30x = $500 - $50. Simplifying further, we get: 0.30x = $450.
By dividing both sides by 0.30, we find that x = $450 / 0.30 = 1500. Therefore, someone who paid $500 for airfare from NYC would have traveled 1500 miles. This fills in Blank 5.
Final answers:
Blank 1: Empty.
Blank 2: Empty.
Blank 3: y = $50 + 0.30x.
Blank 4: $650.
Blank 5: 1500 miles.