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mojhsa [17]
1 year ago
9

Party planners recommend that, for every eight guests, two orders of appetizers be provided. Which function reflects this ratio?

y = 4 xy = 1\4 xy = 8 xy = 1\8 x
Mathematics
1 answer:
Bond [772]1 year ago
8 0

STEP - BY - STEP EXPLANATION

What to find?

The function that reflects the given ratios given.

Given:

For every eight guests, 2 orders.

To determine the function;

Let y be the number of orders and x be the number of guests.

If for every eight guest, there must be 2 orders, then we will have;

y=\frac{1}{4}x

So that, if there are 8 guests, that is; when x=8

y=\frac{1}{4}(8)=2

ANSWER

y= 1/4 x

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Answer:

D 81

Step-by-step explanation:

It is not prime. It can be divided by a number other than 1.

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Claudia says that she used the GCF to factor the expression 20x + 100xy as 20(x + 5xy). Is she correct? Explain.
Keith_Richards [23]

No, She is not correct.

Step-by-step explanation:

To find the greatest common factor of the expression 20x + 100xy.

Given expression 20x + 100xy.

Let us factor the expression 20x + 100xy.

Now take the common factor in the expression 20x + 100xy.

The common factor is 20x.

So, 20x + 100xy = 20x( 1+ 5y)

But Claudia says that the greatest common factor is 20(x+5xy).

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3 years ago
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

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lyudmila [28]

Answer:

Step-by-step explanation:

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