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Hitman42 [59]
3 years ago
11

BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 3.5x

+4
represents the cost y of bowling games. Interpret the parameters of the function.
represents the price per game
$
represents the shoe rental charge.
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

The parameters of a linear function are the slope, and the intercepts.

  • 3.5 represents the price per game
  • 4 represents the shoe rental charge

A linear function is represented as:

\mathbf{y = mx + b}

Where:

m represents the slope or the rates

b represents the y intercept or the initial value of the function.

So, by comparison:

\mathbf{m = 3.5}

\mathbf{b = 4}

So, we have:

The price per game is 3.5 (i.e. the <em>slope</em>), and the shoe rental charge is 3.5 (i.e. the <em>y-intercept</em>)

Read more about function parameters at:

brainly.com/question/18672496

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Option D:

Difference between g(x) and f(x) is 44.

Solution:

Let us first write the function of f(x).

Take any two points on the line (0, -1) and (-2, 0).

Here, x_1=0, y_1=-1, x_2=-2, y_2=0

Equation of a line:

$\frac{y-y_1}{x-x_1} =\frac{y_2-y_1}{x_2-x_1}

$\frac{y-(-1)}{x-0} =\frac{0-(-1)}{-2-0}

$\frac{y+1}{x} =\frac{1}{-2}

Do cross multiplication.

-2(y + 1) = x

-2y - 2 = x

Add 2 on both sides.

-2y = x + 2

Divide by -2 on both sides.

$y=-\frac{1}{2}x-1

y = -0.5x - 1

f(x) = -0.5x - 1

At x = 20,

f(20) = -0.5(20) - 1 = -11

g(x) = 1.5x + 3

g(20) = 1.5(20) + 3 = 33

Difference between g(x) and f(x)

            = g(20) - f(20)

            = 33 - (-11)

            = 33 + 11

            = 44

Difference between g(x) and f(x) is 44.

Option D is the correct answer.

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