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evablogger [386]
3 years ago
10

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?

Does this represent an exponential function?
Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

   In second week she saved = 2×$5 = $10

   In third week she saved = 2×$10 = 20

  In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = \frac{b}{a} = \frac{c}{b}

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d =   10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r =  \frac{10}{5} (=2) = \frac{20}{10}(=2)

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

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timofeeve [1]
Hey Gary!

The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.

5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.

350Pi is our answer.
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Your answer is B.)

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5 0
3 years ago
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Jillian flew to New Zealand for summer vacation. While she was there, she rode her bike 1/3 of the time. She spent 1/4 of the re
Elis [28]
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7 0
3 years ago
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Answer:

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Step-by-step explanation:

Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:

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By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left hand side) of both equations have the same unit (%); we have

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Taking the inverse (or reciprocal) of both sides gives us this:

\frac{x}{100} =\frac{2.5}{20}

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Answer:

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