. The pyramid

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

For 20 people

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

For 30 people

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

For 40 people

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

For 50 people

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

6 0

3 years ago

Sabrina bought 8 gallons of paint. After she painted her shed, she had 4 gallons left over. How much paint did Sabrina use on he

gizmo_the_mogwai [7]

Pretty sure its 4 gallons

8 0

3 years ago

Read 2 more answers

The graph of the logarithmic function f(x) = loga(x) passes through the points and . The graph lies the y-axis.

vagabundo [1.1K]

The question is incomplete. But this explanation will help you very much.

1) Regarding the function $log_ax$ , its graph always passes through the points (1,0) and (a,1).

That is due to the properties of logarithm function:

a) $log_a1=0$

b) $log_aa=1$

That in turn is due to the properties of the exponential functions.

a^0 = 1 and a^1 = a

2) Regarding the y-axis.

The function $log_ax$ will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)

8 0

3 years ago

Read 2 more answers

Can someone help me? I will give you 8 points!

swat32

Answer:

For 7, it's around 20 minutes. For 6, it's around 30. For 8, it's around 15.

8 0

3 years ago

The hull speed of a boat in knots per hour is determined by the length of the waterline. The waterline is the length of the boat

777dan777 [17]

Answer:

The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.

Step-by-step explanation:

Let the function $h = 1.34\cdot l$ , where $l$ is the length of the waterline, measured in feet and $h$ is the hull speed of the boat, measured in knots per hour. If we know that $h = 4\,\frac{kt}{h}$ , then the length of the waterline is:

$l = \frac{h}{1.34}$

$l = \frac{4}{1.34}$

$l = 2.985\, ft$

The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.

3 0

3 years ago