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3 years ago

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The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x

is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

2.75

Step-by-step explanation:

Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980

The expression to find the cost is

2.75 + 0.10x

Now, x is the time since 1980

1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;

2.75 + 0.1(0)

=

2.75

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Read 2 more answers

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$r = \±\sqrt{14$

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$\frac{1}{2x} = \frac{r - x}{7}$

Required

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$2x(r - x) = 7 * 1$

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$2xr - 2x^2 -7= 7 -7$

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Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

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The above represents a quadratic equation and as such could take either of the following conditions.

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This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

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For a quadratic equation

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By comparison with $2x^2 - 2xr +7= 0$

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$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

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$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

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Divide through by 4

$r^2 = 14$

Take square roots

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Hence, the possible values of r are:

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