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Mandarinka [93]
3 years ago
8

Ms. Malia bought a laptop with a 10% discount. She also bought a mouse for $13.99 and spent a total of $621.49 before taxes. Wri

te an equation to find the original cost of the laptop, x.
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

$675

Step-by-step explanation:

Let

x = original price of laptop

Discount = 10%

Actual price paid = x - 10% of x

= x - .10x

= .90x

Cost of mouse = $13.99

Total amount paid = $621.49

Total amount paid = actual cost of laptop + Cost of mouse

621.49 = .90x + 13.99

621.49 - 13.99 = .90x

607.5 = .90x

x = 607.5 / .90

= 675

Original cost of the laptop = $675

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In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric
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Answer:

y(x) = 29.99 + 1.86x

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

y(x) = y(0) + ax

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that y(0) = 29.99

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

y(16) = 59.75

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

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Applying y(16).

59.75 = 29.99 + 16a

16a = 29.76

a = \frac{29.76}{16}

a = 1.86

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y(x) = 29.99 + 1.86x

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

y(x) = 29.99 + 1.86x

y(20) = 29.99 + 1.86*20 = 67.19

The cost of basic cable television in the United States in the year 2020 will be $67.19.

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