Consider the data shown on the graph:
The y-intercept represents the base price of $ y=50+0.30x 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 1000 miles.
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be
Word Bank:
1000
30
y=50+0.30x
y=30+0.50x
800
200
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Blank 1: y-intercept
Blank 2: cost
Blank 3: $1100
Blank 4: 500
Blank 5: y=50+0.30x
Use the options from the word bank
The completed sentences are:
The y-intercept represents the base price of $50 for airfare from NYC.
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 $650 for their airfare.
According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=30+0.50x.
To find the answers to these questions, we need to use the given equation for the airfare, which is y = 50 + 0.30x.
1. According to the equation given, someone who traveled 2000 miles from NYC would pay:
To find this, substitute x = 2000 into the equation:
y = 50 + 0.30(2000)
y = 50 + 600
y = 650
So, someone who traveled 2000 miles from NYC would pay $650 for their airfare.
2. According to the equation given, someone who paid $500 for airfare from NYC would have traveled:
To find this, set y = 500 and solve for x:
500 = 50 + 0.30x
450 = 0.30x
x = 450 / 0.30
x = 1500
So, someone who paid $500 for airfare from NYC would have traveled 1500 miles.
3. If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be:
From the statement, we know that the new base cost is $50. So the new equation will be in the form: y = 50 + [new slope value]x.
Since the cost per mile remains unchanged, the slope remains the same at 0.30.
Therefore, the new equation would be: y = 50 + 0.30x.
Thus, the answers are:
Blank 1: 650
Blank 2: 1500
Blank 3: y = 50 + 0.30x
Blank 4: 30
Blank 5: 50