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Alla [95]
3 years ago
9

A function has a constant doubling time. what type of function does this represent?

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0

This is an exponential function.

mr Goodwill [35]3 years ago
7 0

This is an exponential function.

As, y doubles proportionately to x.

When x=1, y doubles or y=2^{x}=2^{1}=2

When x=2, y doubles or y=2^{x}=2^{2}=4

When x=3, y doubles or y=2^{x}=2^{3}=8

That is, y(output) doubles with x(input)

y=[tex] 2^{x}

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Which function is increasing at the highest rate?
prisoha [69]

Answer:

Option B: 12x - 6y = -24

Step-by-step explanation:

A function is said to be increasing if it has a slope greater than 0.

The function with the largest slope has the highest increasing rate.

Here, for the graph in option A, the function is decreasing with increasing x. So, it has a negative slope.

We need to convert equation of option B into standard form and then determine its slope.

The standard form of a straight line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Now, given function is:

12x - 6y = -24\\ 6y = 12x + 24\\ y = \frac{12}{6}x+\frac{24}{6}\\ y = 2x + 4

Therefore, the slope is 2.

Option C:

Slope is given as,

m_{C}=\frac{g(x_{2}-g(x_{1})}{x_{2}-x_{1}} =\frac{-4-(-5)}{2-1}=\frac{-4+5}{1}=1

Therefore, the slope is 1.

Option D:

Equation of a line with a and b as x and y intercepts is given as,

\frac{x}{a}+\frac{y}{b}=1

Here, a = 8 and b = -4

∴ \frac{x}{8}+\frac{y}{-4}=1\\ \frac{x-2y}{8}=1\\ x-2y=8\\ 2y=x-8\\y=\frac{1}{2}x-4

Therefore, the slope is \frac{1}{2}.

Hence, the largest slope is for option B and thereby the highest increasing rate.

4 0
3 years ago
Erica spent $115 on school she actually spent $82.50 what is Erica's percent of error
MaRussiya [10]
I think it is 32.5% but I could be wrong
7 0
3 years ago
Read 2 more answers
harry got 42 and 49 correct on his test what fraction of the marks did he get wrong give your answer in it simplest form ​
Nuetrik [128]

Answer:

1/7

Step-by-step explanation:

49-42= 7

7/49 can be simplified by dividing by 7

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3 years ago
Pls help!
Misha Larkins [42]

Answer:

11/32

Step-by-step explanation:

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There are 16 cups in a gallon. 6 pints in a quart. 4 quarts in a gallon.
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