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Katarina [22]
3 years ago
15

One calling card has a $.50 connection fee and charges $.02 per minute. Another card has a $.25 connection fee and charges $.03

per minute. After how many minutes would a call cost the same amount using either card?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0
Card 1
$0.50 + $0.02x = y
Card 2
$0.25 + $0.03x = y


Card 1: Charges $0.50 and adds 2 more cents for each minute

Card 2: Charges $0.25 and adds 3 more cents for each minute

$0.50 + $0.02(25) = $1.00
$0.25 + $0.03(25) = $1.00


At 25 minutes the cards charge the same amount of $1.00 .


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The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
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Vertical shift

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  • Down by d units: y = f(x) - d

Stretching:

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  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

brainly.com/question/17006186

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Answer:

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