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guapka [62]
3 years ago
5

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

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

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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In reverse order, we undo these operations by
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- multiplying by 2.

Whatever we do to one side of an equation, we must also do to the other side. That is how the equal sign remains valid.

2 = m/2 -7
2 +7 = m/2 -7 +7 . . . . . add 7
9 = m/2 . . . . . . . . . . . . simplify
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_____
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