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3 years ago

A recipe that serves 10 uses 5 teaspoons of molasses. How many teaspoons are needed to serve 6?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

3 teaspoons.

Step-by-step explanation:

I am going to do this by figuring out how many teaspoons of molasses is need to serve 2 and then multiply that number by 3. because 3 x 2 = 6.

10 divided by 5 is 2. 5 divided by 5 equals 1. This means that to feed 2 people you need 1 teaspoon of molasses.

1 tsp + 1 tsp + 1 tsp = 3 tsp.

This means that I need 3 tsp of molasses to feed 6 people.

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If f ( x ) f(x) is an exponential function where f ( − 3.5 ) = 25 f(−3.5)=25 and f ( 6 ) = 33 f(6)=33, then find the value of f

gavmur [86]

Given:

f(x) is an exponential function.

$f(-3.5)=25, f(6)=33$

To find:

The value of f(6.5).

Solution:

Let the exponential function is

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

Where, a is the initial value and b is the growth factor.

We have, $f(-3.5)=25$ . So, put x=-3.5 and f(x)=25 in (i).

$25=ab^{-3.5}$ ...(ii)

We have, $f(6)=33$ . So, put x=6 and f(x)=33 in (i).

$33=ab^{6}$ ...(iii)

On dividing (iii) by (ii), we get

$\dfrac{33}{25}=\dfrac{ab^{6}}{ab^{-3.5}}$

$1.32=b^{9.5}$

$(1.32)^{\frac{1}{9.5}}=b$

$1.0296556=b$

$b\approx 1.03$

Putting b=1.03 in (iii), we get

$33=a(1.03)^{6}$

$33=a(1.194)$

$\dfrac{33}{1.194}=a$

$a\approx 27.63$

Putting a=27.63 and b=1.03 in (i), we get

$f(x)=27.63(1.03)^x$

Therefore, the required exponential function is $f(x)=27.63(1.03)^x$ .

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Please help me understand how to do this and the answer!

Murrr4er [49]

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