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3 years ago

Choose the most appropriate name for the function described below.

Mathematics

1 answer:

Nostrana [21]3 years ago

5 0

Answer:

D. Temperature(minutes), or t(m)

Step-by-step explanation:

Option D is the correct answer.

( D.temperature(minutes), or t(m) )

Step-by-step explanation:

We are given that:

The temperature of the coffee depends on the number of minutes it sits on the desk.

i.e. the temperature(t) of coffee is a function of time in minutes (t).

i.e. times is a independent variable and temperature is a dependent variable.

Hence, the most appropriate name for the function described below is:

temperature(minutes), or t(m).

Hence, option D is correct.

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3 years ago

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2 years ago

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AnnZ [28]

Given:

The graph of an exponential function.

To find:

The function in the form of $f(x)=ab^x$ .

Solution:

The general form of an exponential function is

$f(x)=ab^x$ ...(i)

From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.

For x=0 and f(x)=4,

$4=ab^0$

$4=a(1)$

$4=a$

For x=1 and f(x)=7,

$7=ab^1$

Putting a=4, we get

$7=4(b)$

$\dfrac{7}{4}=b$

Substitute a=4 and $b=\dfrac{7}{4}$ in (i).

$f(x)=4\left(\dfrac{7}{4}\right)^x$

Therefore, the required exponential function is $f(x)=4\left(\dfrac{7}{4}\right)^x$ .

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2 years ago