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Algebra
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Homework
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ANSWERS:
Number 38
y =
−𝑥
9
Number 40
y =
−14𝑥
3
Number 42
x = 6
Number 44
y = -140
Number 46
The given point does not represent direct variation. This is because the ratio y coordinate to that
of x is not equal to the given value for m.
Number 48
The given point represents direct variation. This is because the ratio y coordinate to that of x is
equal to the given value for m.
Number 52(a)
1 gallon = 28 mi
Number 52(c)
28 mi = 1 gallon
11700 mi =
11700 𝑥 1
28
= 417.86 gallons ≈ 418 gallons
Number 52(d)
28 mi = $ 1.57
1 mi =
1 𝑥 1.57
28
= $ 0.056
Number 60

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ANSWERS: Number 38 y= −𝑥 9 Number 40 y= −14𝑥 3 Number 42 x=6 Number 44 y = -140 Number 46 The given point does not represent direct variation. This is because the ratio y coordinate to that of x is not equal to the given value for m. Number 48 The given point represents direct variation. This is because the ratio y coordinate to that of x is equal to the given value for m. Number 52(a) 1 gallon = 28 mi Number 52(c) 28 mi = 1 gallon 11700 mi = 11700 𝑥 1 28 = 417.86 gallons ≈ 418 gallons Number 52(d) 28 mi = $ 1.57 1 mi = 1 𝑥 1.57 28 = $ 0.056 Number 60 B Number 62 ...
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