Can you prove that DEF = HGF.!? Justify your answer.
1 answer:
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Answer:
The charges will be the same after 10 miles.
Step-by-step explanation:
Long Beach Towing Company:
Charges $40 plus $5 per mile. So after x miles, the charge will be of:
Five-Star Towing Company:
Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:
After how many miles the charges for the two companied will be the same?
This is x for which:
So
The charges will be the same after 10 miles.
The first thing we must do for this case is to find the equation of the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.