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34 votes
34 votes
the graph at the right models the cost of renting a moving van write an equation of the line then find the cost of renting the van for a hundred mile trip

User Nasa
by
2.6k points

1 Answer

21 votes
21 votes

Take into account that the general form of an equation of a line is given by:

y = mx + b

where m is the slope of the line and b the y-intercept.

Calculate the slope of the line as follow:

m = (y2 - y1)/(x2 - x1)

where (x1,y1) and (x2,y2) are any two points of the line.

Use

(x1,y1) = (0,30)

(x2,y2) = (50,60)

replace the previous values of the parameters into the equation for m:

m = (60 - 30)/(50 - 0)

m = 30/50

m = 3/5

the y-intercept is the value of y when x=0. On the graph you can notice that such value is y = 30. Then, b = 30.

Replace the values of m and b into the general equation of a line.

y = 3/5 x + 30

th

User Artvolk
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3.0k points
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