Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the num
ber of miles he drives.
Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
a
c = 30m + 0.10
b
c = 30m + 0.50
c
c = 0.1m + 30
d
c = 0.5m + 30
Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
a
c = 30m + 0.10
b
c = 30m + 0.50
c
c = 0.1m + 30
d
c = 0.5m + 30
1 answer:
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Equation Given
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x² + 2x = 17
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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17
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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17
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Form the perfect square
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(x + 1)² - 1 = 17
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Add 1 to both sides
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(x + 1)² = 17 + 1
(x + 1)² = 18
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Square root both sides
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√(x + 1)² =
√18
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Solve for x
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x = 4.24 - 1 or - 4.24 -1
x = 3.24 or - 5.24 (nearest hundredth)
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Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17
--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17
--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17
--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17
--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18
--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² =
--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1
x = 3.24 or - 5.24 (nearest hundredth)
--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
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