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il63 [147K]
3 years ago
11

Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was

overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date: 2 + 0.25x What does the coefficient of the expression represent?
Mathematics
1 answer:
Paha777 [63]3 years ago
5 0
The coefficient, 0.25, of the expression represents the late fee for every day the book was overdue.

And the constant, 2, represents the fixed rental fee.

The variable, x, represents the number of days Joseph had the book for.

Hope this helps :)
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the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

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in our case

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and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

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2 years ago
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harkovskaia [24]

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7 0
3 years ago
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viktelen [127]

The answer is 3/5.


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5 0
3 years ago
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